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Josip Pečarić
Articles by
Josip Pečarić
:
MIA-01-04
»
Sharp Multidimensional Multiplicative Inequalities for Weighted
L
p
Spaces with Homogeneous Weights
(01/1998)
MIA-01-19
»
A generalization of Pólya's inequality to Stolarsky and Gini means
(04/1998)
MIA-01-24
»
A geometric mean inequality and some monotonicity results for the
q
-Gamma function
(04/1998)
MIA-01-29
»
Improvements of some bounds on entropy measures in information theory
(04/1998)
MIA-01-32
»
New generalization of Gauss-Pólya's inequality
(07/1998)
MIA-01-37
»
Some new Opial-type inequalities
(07/1998)
MIA-01-46
»
Multi-dimensional integral inequalities of the Wirtinger-type
(10/1998)
MIA-01-47
»
Mixed Means and Hardy's Inequality
(10/1998)
MIA-01-48
»
Gerber's inequality and some related inequalities
(10/1998)
MIA-02-04
»
Measures of algebraic sums of sets
(01/1999)
MIA-02-30
»
Stolarsky-Tobey mean in
n
variables
(07/1999)
MIA-02-31
»
On new estimation of the remainder in generalized Taylor's formula
(07/1999)
MIA-02-38
»
Functional Stolarsky means
(10/1999)
MIA-02-51
»
Further improvements of some bounds on entropy measures in information theory
(10/1999)
MIA-03-01
»
On some generalizations of Ostrowski inequality for Lipschitz functions and functions of bounded variation
(01/2000)
MIA-03-03
»
Generalizations of some inequalities of Ostrowski-Grüss Type
(01/2000)
MIA-03-16
»
On an Ostrowski type inequality for a random variable
(01/2000)
MIA-03-22
»
Differential and integral
f
-means and applications to digamma function
(04/2000)
MIA-03-24
»
The Euler formulæ and convex functions
(04/2000)
MIA-03-26
»
The best bounds in Gautschi's inequality
(04/2000)
MIA-03-35
»
On generalizations of Ostrowski inequality via some Euler-type identities
(07/2000)
MIA-03-36
»
Some companion inequalities to Jensen's inequality
(07/2000)
MIA-03-46
»
On some inequalities for generalized beta function
(10/2000)
MIA-03-52
»
Inequalities for positive linear maps on Hermitian matrices
(10/2000)
MIA-04-19
»
On an inequality for the entropy of a probability distribution
(04/2001)
MIA-04-20
»
Two-point Ostrowski inequality
(04/2001)
MIA-04-34
»
On Some Inequalities Related to Hardy's Integral Inequality
(07/2001)
MIA-05-05
»
Unified approach to refinements of Jensen's inequalities
(01/2002)
MIA-05-22
»
The Jensen-Grüss inequality
(04/2002)
MIA-05-39
»
Interpolation polynomials and inequalities for convex functions of higher order
(07/2002)
MIA-05-41
»
Multivariable mixed means and inequalities of hardy and Levin-Cochran-Lee type
(07/2002)
MIA-05-54
»
Inequalities for the gamma function relating to asymptotic expansions
(07/2002)
MIA-05-58
»
A general form preserving the operator order for convex functions
(07/2002)
MIA-05-63
»
New generalizations of inequalities of Hardy and Levin-Cochran-Lee type for multidimensional balls
(10/2002)
MIA-05-67
»
On sharpness of some integral inequalities and an integral equation of Volterra type
(10/2002)
MIA-06-24
»
Euler-Maclaurin formulae
(04/2003)
MIA-06-49
»
An operator inequality associated with the operator concavity of operator entropy
A
log
A
-1
(07/2003)
MIA-07-01
»
Comparison theorems between several quasi-arithmetic means
(01/2004)
MIA-07-05
»
On Euler-Boole formulae
(01/2004)
MIA-07-20
»
On some new integro-differential inequalities related to Weyl's and Heisenberg's type inequality
(04/2004)
MIA-07-21
»
Hardy's discrete inequality
(04/2004)
MIA-07-22
»
Generalization of Hilbert's Integral Inequality
(04/2004)
MIA-07-24
»
Generalization of Inequalities of Hardy-Hilbert type
(04/2004)
MIA-07-35
»
Estimates of the difference between two weighted integral means via weighted Montgomery identity
(07/2004)
MIA-07-38
»
Estimations of the difference of two integral means via Euler-type identities
(07/2004)
MIA-08-04
»
General Hilbert's and Hardy's inequalities
(01/2005)
MIA-08-05
»
Improvements of some inequalities for moments of guessing function
(01/2005)
MIA-08-18
»
Continuous Sharpening of Hölder's and Minkowski's Inequalities
(04/2005)
MIA-08-20
»
Some New Weighted Hardy-type Inequalities for Vector-Valued Functions
(04/2005)
MIA-08-21
»
The Weighted Euler identity
(04/2005)
MIA-08-22
»
Unified treatment of complemented Schwarz and Grüss inequalities in inner product spaces
(04/2005)
MIA-08-23
»
Note on Grüss type inequality
(04/2005)
MIA-08-24
»
On weighted Euler harmonic identities with applications
(04/2005)
MIA-08-25
»
Generalization of Hilbert and Hardy-Hilbert integral inequalities
(04/2005)
MIA-08-27
»
General Euler-Boole's and dual Euler-Boole's formulae
(04/2005)
MIA-08-28
»
Hermite-Hadamard's inequalities for multivariate
g
-convex functions
(04/2005)
MIA-08-29
»
On the best constant in Hilbert's inequality
(04/2005)
MIA-08-30
»
Some Determinantal Inequalities
(04/2005)
MIA-08-31
»
Difference derived from weighted Hölder's inequality
(04/2005)
MIA-08-32
»
Asymptotic stability and integral inequalities for solutions of linear systems on Radon-Nikodým spaces
(04/2005)
MIA-08-33
»
On Dual Brunn-Minkowski Inequalities
(04/2005)
MIA-08-55
»
A generalization of Maclaurin's inequalities and its applications
(10/2005)
MIA-09-05
»
Note on some inequalities for generalized convex functions
(01/2006)
MIA-09-48
»
Generalization of the Kantorovich type operator inequalities via Grand Furuta inequality
(07/2006)
MIA-09-56
»
Some new nonlinear retarded integral inequalities and their applications
(10/2006)
MIA-09-66
»
Bounds for the ratio and difference between parallel sum and series via Mond-Pečarić method
(10/2006)
MIA-10-03
»
General inequalities via isotonic subadditive functionals
(01/2007)
JMI-01-06
»
A variant of Jensen's inequality for convex functions of several variables
(03/2007)
MIA-10-44
»
The Dunkl-Williams inequality with
n
elements in normed linear spaces
(04/2007)
JMI-01-28
»
New weighted Simpson type inequalities and their applications
(09/2007)
JMI-01-36
»
Some improvements of Grüss type inequality
(09/2007)
MIA-10-75
»
Some new retarded Volterra-Fredholm type integral inequalities with power nonlinear and their applications
(10/2007)
JMI-01-47
»
On Van de Lune - Alzer's inequality
(12/2007)
MIA-11-02
»
Jensen-Steffensen's and related inequalities for superquadratic functions
(01/2008)
MIA-11-07
»
Refinements of Jensen's inequality of Mercer's type for operator convex functions
(01/2008)
MIA-11-18
»
General Hilbert-type inequalities with non-conjugate exponents
(04/2008)
MIA-11-31
»
Inequalities involving the arithmetic and geometric operator means
(07/2008)
JMI-02-26
»
Comparison of operator mean geodesics
(09/2008)
JMI-02-27
»
On a variant of the Jensen-Mercer inequality for operators
(09/2008)
JMI-02-31
»
General three-point quadrature formulae with applications for
α
-
L
-Hölder type functions
(09/2008)
MIA-11-60
»
On some higher-dimensional Hilbert's and Hardy-Hilbert's integral inequalities with parameters
(10/2008)
JMI-02-44
»
Steffensen's means
(12/2008)
JMI-02-46
»
General dual Euler-Simpson formulae
(12/2008)
MIA-12-07
»
On logarithmic convexity for differences of power means and related results
(01/2009)
MIA-12-24
»
Integral representations of generalized Whiteley means and related inequalities
(04/2009)
MIA-12-32
»
On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality
(04/2009)
MIA-12-36
»
Some new Hardy type inequalities with general kernels
(07/2009)
MIA-12-45
»
General closed 4-point quadrature formulae Of Euler type
(07/2009)
MIA-13-03
»
A note on Young inequality
(01/2010)
JMI-04-01
»
Inequalities of the Dunkl-Williams type for absolute value operators
(03/2010)
MIA-13-27
»
On the two-point Ostrowski inequality
(04/2010)
JMI-04-17
»
Exponential convexity, positive semi-definite matrices and fundamental inequalities
(06/2010)
MIA-13-40
»
Weighted version of general integral formula of Euler type
(07/2010)
OaM-04-20
»
Converses of Jensen's operator inequality
(09/2010)
MIA-13-65
»
On Stolarsky and related means
(10/2010)
JMI-04-44
»
Some new refined Hardy-type inequalities with kernels
(12/2010)
JMI-05-06
»
Generalizations of converse Jensen's inequality and related results
(03/2011)
JMI-05-14
»
Exponential convexity and Jensen's inequality for divided differences
(06/2011)
JMI-05-15
»
On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions
(06/2011)
JMI-05-16
»
Generalization of
K
-divergence and related means
(06/2011)
JMI-05-18
»
Note on an inequality of Gauss
(06/2011)
JMI-05-20
»
On an inequality for convex functions with some applications on fractional derivatives and fractional integrals
(06/2011)
JMI-05-21
»
On Slater's Integral Inequality
(06/2011)
JMI-05-23
»
Integral, discrete and functional variants of Jensen's inequality
(06/2011)
JMI-05-24
»
On exponential convexity for power sums and related results
(06/2011)
JMI-05-25
»
Boas-type inequalities via superquadratic functions
(06/2011)
MIA-14-56
»
Means involving linear functionals and
n
-convex functions
(07/2011)
MIA-14-59
»
Order among power operator means with condition on spectra
(07/2011)
JMI-05-38
»
a(x)
-monotonic functions and their inequalities
(09/2011)
MIA-14-64
»
A refinement of the discrete Jensen's inequality
(10/2011)
MIA-14-76
»
Schur-Convexity of Čebišev Functional
(10/2011)
JMI-06-04
»
Log-convexity and Cauchy means related to Berwald's inequality
(03/2012)
JMI-06-13
»
On some properties of Jensen-Mercer's functional
(03/2012)
FDC-02-03
»
Opial type integral inequalities for fractional derivatives
(06/2012)
MIA-15-53
»
A new general Boas-type inequality and related Cauchy-type means
(07/2012)
OaM-06-40
»
Some better bounds in converses of the Jensen operator inequality
(09/2012)
JMI-06-44
»
The Jensen inequality in an external formula
(09/2012)
MIA-15-68
»
Potential inequality revisited I: General case
(10/2012)
MIA-15-77
»
Extensions of the Hermite-Hadamard inequality with applications
(10/2012)
JMI-06-61
»
Remarks on the paper “Jensen's inequality and new entropy bounds'' of S. Simić
(12/2012)
FDC-02-11
»
Opial type integral inequalities for fractional derivatives II
(12/2012)
MIA-16-03
»
Potential inequality revisited II: Equality case and Hardy type inequalities
(01/2013)
JMI-07-02
»
More about Jensen's inequality and Cauchy's means for superquadratic functions
(03/2013)
JMI-07-05
»
Mixed symmetric means related to the classical Jensen's Inequality
(03/2013)
JMI-07-07
»
Refinements of some majorization type inequalities
(03/2013)
JMI-07-13
»
A multiple Opial type inequality for the Riemann-Liouville fractional derivatives
(03/2013)
OaM-07-17
»
Refined Jensen's operator inequality with condition on spectra
(06/2013)
JMI-07-19
»
Popoviciu type characterization of positivity of sums and integrals for convex functions of higher order
(06/2013)
JMI-07-21
»
Non-symmetric Stolarsky means
(06/2013)
FDC-03-03
»
Weighted Hardy-type inequalities for monotone convex functions with some applications
(06/2013)
FDC-03-04
»
An Opial-Type inequality for fractional derivatives of two functions
(06/2013)
MIA-16-49
»
Composition identities for the Caputo fractional derivatives and applications to Opial-type inequalities
(07/2013)
JMI-07-28
»
Minkowski and Beckenbach-Dresher inequalities and functionals on time scales
(09/2013)
JMI-07-29
»
$\mathbf{n}$-exponential convexity for Jensen-type inequalities
(09/2013)
MIA-16-82
»
n
-exponential convexity of divided differences and related Stolarsky type means
(10/2013)
MIA-16-96
»
Generalization of Jensen's inequality by Lidstone's polynomial and related results
(10/2013)
JMI-07-58
»
New converses of the Jessen and Lah-Ribarič inequalities II
(12/2013)
JMI-07-67
»
n
-Exponential Convexity of Hardy-type and Boas-type functionals
(12/2013)
MIA-17-15
»
New converses of the Jessen and Lah-Ribarič inequalities
(01/2014)
JMI-08-12
»
Some dynamic Hardy-type inequalities with general kernel
(03/2014)
MIA-17-57
»
Generalizations of Steffensen's inequality via weighted Montgomery identity
(04/2014)
JMI-08-21
»
n
-exponential convexity of weighted Hermite-Hadamard's inequality
(06/2014)
JMI-08-24
»
n
-exponential convexity of some dynamic Hardy-type functionals
(06/2014)
MIA-17-84
»
Generalizations and improvements of converse Jensen's inequality for convex hulls in
ℝ
k
(07/2014)
JMI-08-57
»
Opial-type inequalities for two functions with general kernels and applications
(12/2014)
MIA-18-16
»
Weak monotonicity and Chebyshev type inequality
(01/2015)
MIA-18-26
»
Steffensen type inequalities involving convex functions
(01/2015)
JMI-09-15
»
Steffensen's generalization of Čebyšev inequality
(03/2015)
JMI-09-25
»
Harmonic polynomials and generalizations of Ostrowski-Grüss type inequality and Taylor formula
(03/2015)
MIA-18-49
»
On weighted generalization of the Hermite-Hadamard inequality
(04/2015)
JMI-09-32
»
Multiple Opial-type inequalities for general kernels with applications
(06/2015)
JMI-09-41
»
Generalized Steffensen's inequality
(06/2015)
JMI-09-49
»
Generalization of Levinson's inequality
(06/2015)
JMI-09-52
»
Reverses of Ando and Davis-Choi inequality
(06/2015)
FDC-05-03
»
An Opial-type integral inequality and exponentially convex functions
(06/2015)
FDC-05-09
»
Opial-type inequalities for fractional integral operator involving Mittag-Leffler function
(06/2015)
MIA-18-90
»
Steffensen's inequality for positive measures
(07/2015)
JMI-09-70
»
Generalization of majorization theorem
(09/2015)
JMI-09-75
»
Improvements of the Hermite-Hadamard inequality on time scales
(09/2015)
MIA-18-118
»
Popoviciu type inequalities via Green function and generalized Montgomery identity
(10/2015)
MIA-18-119
»
Applications of refined Hardy-type inequalities
(10/2015)
MIA-18-93
»
Linear operators inequality for
n
-convex functions at a point
(10/2015)
JCA-07-12
»
Refinements of the majorization theorems via Fink identity and related results
(10/2015)
JMI-09-100
»
Refinement of Jensen's inequality with applications to cyclic mixed symmetric means and Cauchy means
(12/2015)
JMI-09-101
»
New error bounds of the Chebyshev functional and application to the two-point integral formula
(12/2015)
JMI-09-84
»
A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in
ℝ
k
(12/2015)
JMI-09-87
»
New estimations of the remainder in three-point quadrature formulae of Euler type
(12/2015)
JMI-09-91
»
Minkowski type inequality for convex functions
(12/2015)
JMI-09-92
»
Some inequalities for the Čebyšev functional and Euler two-point formulae
(12/2015)
JMI-09-93
»
Cauchy's error representation of Lidstone interpolating polynomial and related results
(12/2015)
JMI-09-96
»
New results about Hardy-type inequality
(12/2015)
JMI-09-97
»
Levinson's inequality for Hilbert space operators
(12/2015)
JMI-09-98
»
Generalized Jensen-Steffensen and related inequalities
(12/2015)
MIA-19-06
»
Some new Hardy type inequalities with general kernels II
(01/2016)
MIA-19-17
»
Positivity of sums and integrals for convex functions of higher order of
n
variables
(01/2016)
JMI-10-16
»
Generalized Čebyšev and Ky Fan identities and inequalities
(03/2016)
JMI-10-23
»
The generalized Tsallis relative operator entropy via solidarity
(03/2016)
JMI-10-36
»
Some measure theoretic aspects of Steffensen's and reversed Steffensen's inequality
(06/2016)
JMI-10-49
»
Reversed Hardy inequality for
C
-monotone functions
(09/2016)
MIA-19-100
»
Boas-type inequality for
3
-convex functions at a point
(10/2016)
MIA-19-86
»
Hermite interpolation and inequalities involving weighted averages of
n
-convex functions
(10/2016)
MIA-19-87
»
Generalizations of Sherman's inequality by Hermite's interpolating polynomial
(10/2016)
MIA-19-90
»
Recursively defined refinements of the integral form of Jensen's inequality
(10/2016)
MIA-19-91
»
Generalization of Popoviciu type Inequalities via Green's function and Fink's identity
(10/2016)
MIA-19-92
»
Generalization of majorization theorem via Taylor's formula
(10/2016)
MIA-19-93
»
Converses of Jessen's inequality on time scales II
(10/2016)
MIA-19-95
»
On weighted integral and discrete Opial-type inequalities
(10/2016)
MIA-19-96
»
Popoviciu type inequalities via Hermite's polynomial
(10/2016)
MIA-19-99
»
Cauchy's error representation of Hermite interpolating polynomial and related results
(10/2016)
JMI-10-82
»
Generalized Opial-type inequalities for differential and integral operators with special kernels in fractional calculus
(12/2016)
JMI-10-84
»
Hermite interpolation of composition function and Steffensen-type inequalities
(12/2016)
JMI-11-27
»
Improved Jensen-type inequalities via linear interpolation and applications
(06/2017)
JMI-11-44
»
Weighted integral inequality for the second derivative of
4
-convex functions
(06/2017)
JMI-11-80
»
Generalization of Jensen's and Jensen-Steffensen's inequalities by generalized majorization theorem
(12/2017)
MIA-21-17
»
New improvement of the converse Jensen inequality
(01/2018)
JMI-12-20
»
Refinements and generalizations of majorization, Favard and Berwald-type inequalities via Fink identity
(03/2018)
MIA-21-22
»
More accurate classes of Jensen-type inequalities for convex and operator convex functions
(04/2018)
MIA-21-42
»
Some properties of Zipf-Mandelbrot law and Hurwitz
ζ
-function
(04/2018)
JMI-12-52
»
Inequalities of the Jensen and Edmundson-Lah-Ribarič type for 3-convex functions with applications
(09/2018)
JMI-12-56
»
Generalization of majorization theorem-II
(09/2018)
MIA-22-14
»
On Rabier's result and nonbounded Montgomery's identity
(01/2019)
JMI-13-20
»
Hybrid Zipf-Mandelbrot law
(03/2019)
MIA-22-29
»
The Ostrowski type inequalities with the application to the three point integral formula
(04/2019)
MIA-22-100
»
Monotonicity of the Jensen functional for
f
-divergences with applications to the Zipf-Mandelbrot law
(10/2019)
MIA-22-102
»
On a Jensen-type inequality for generalized
f
-divergences and Zipf-Mandelbrot law
(10/2019)
MIA-22-103
»
Integral inequalities of Levinson's type in time scale settings
(10/2019)
MIA-22-80
»
Further improvement of an extension of Hölder-type inequality
(10/2019)
MIA-22-81
»
Integral error representation of Hermite interpolating polynomials and related generalizations of Steffensen's inequality
(10/2019)
MIA-22-82
»
Inequalities of the Edmundson-Lah-Ribarič type for selfadjoint operators in Hilbert spaces
(10/2019)
MIA-22-85
»
Popoviciu type inequalities for higher order convex functions via Lidstone interpolation
(10/2019)
MIA-22-86
»
Generalization of weighted Ostrowski type inequalities by Abel-Gontscharoff polynomial
(10/2019)
MIA-22-87
»
Weighted Ostrowski type inequalities by Lidstone polynomials
(10/2019)
MIA-22-88
»
New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial
(10/2019)
MIA-22-89
»
Generalized Steffensen's inequality by Montgomery identities and Green functions
(10/2019)
MIA-22-94
»
Pólya-Szegö and Chebyshev types inequalities via an extended generalized Mittag-Leffler function
(10/2019)
MIA-22-95
»
Note on generalization of the Jensen-Mercer inequality by Taylor's polynomial
(10/2019)
MIA-22-98
»
Converse to the Sherman inequality with applications
(10/2019)
JMI-14-17
»
Generalizations of cyclic refinements of Jensen's inequality by Lidstone's polynomial with applications in information theory
(03/2020)
MIA-23-109
»
On the pre-Jensen-Grüss inequality
(10/2020)
JMI-14-85
»
Superquadratic functions in information theory
(12/2020)
MIA-24-02
»
Generalized Csiszár's
f
-divergence for Lipschitzian functions
(01/2021)
MIA-24-37
»
Remarks on the monotonicity and convexity of Jensen's function
(04/2021)
JMI-15-49
»
Sherman's operator inequality
(06/2021)
JMI-15-56
»
Steffensen-Grüss inequality
(06/2021)
MIA-24-69
»
New bounds for generalized Taylor expansions
(10/2021)
JMI-16-23
»
On an inequality for 3-convex functions and related results
(03/2022)
MIA-26-23
»
Sherman's functional, its properties with applications for
f
-divergence measure
(04/2023)
JMI-18-04
»
Majorization type inequalities via 4-convex functions
(03/2024)
JMI-18-16
»
Weighted Montgomery identity and weighted Hadamard inequalities
(03/2024)
JMI-18-24
»
Generalizations of Hardy-type inequalities by the Hermite interpolating polynomial
(06/2024)