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Related papers: Weighted Ostrowski-Gr\"uss type inequalities

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In this paper, some new inequalities of Ostrowski type established for the class of m- and (alpha,m)-geometrically convex functions which are generalizations of geometric convex functions.

Classical Analysis and ODEs · Mathematics 2012-11-29 Mevlut Tunc

The median principle is applied for different integral inequalities of Gruss and Ostrowski type.

Analysis of PDEs · Mathematics 2025-10-20 Sever Silvestru Dragomir

In this paper, some new Gronwall type inequalities involving iterated integrals are given.

Classical Analysis and ODEs · Mathematics 2007-05-23 Y. J. Cho , S. S. Dragomir , Y. -H. Kim

In this paper, we establish some new inequalities of Ostrowski's type for functions whose derivatives in absolute value are the class of s-convex. Some applications for special means of real numbers are also provided. Finally, some error…

Classical Analysis and ODEs · Mathematics 2010-05-06 E. Set , M. E. Ozdemir , M. Z. Sarikaya

In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L$_{1}\left(a,b\right) $ . Some well known inequalities can be derived as special cases. In addition, perturbed…

Classical Analysis and ODEs · Mathematics 2015-03-31 Ather Qayyum , Ibrahima Faye , Muhammad Shoaib , Muhammad Amer Latif

In this paper, we first obtain a generalized integral identity for twice local differentiable functions. Then, using functions whose second derivatives in absolute value at certain powers are generalized s convex in the second sense, we…

Analysis of PDEs · Mathematics 2017-05-09 Muharrem Tomar , Praveen Agarwal , Mohamed Jleli

In this note, we establish new an inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya

In this paper we establish some companions of perturbed Ostrowski type integral inequalities for functions whose second derivatives are bounded. Some applications to composite quadrature rules, and to probability density functions are also…

Functional Analysis · Mathematics 2012-05-22 Wenjun Liu , Yiting Zhu

The aim of this paper is to provide Markov-type inequalities in the setting of weighted Sobolev spaces when the considered weights are generalized classical weights. Also, as results of independent interest, some basic facts about Sobolev…

Classical Analysis and ODEs · Mathematics 2015-01-27 Francisco Marcellán , Yamilet Quintana , José M. Rodríguez

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are s-convex and s-concave.

Functional Analysis · Mathematics 2012-10-29 M. Emin Özdemir , Merve Avci Ardic

In this note we consider weighted conditional type operators between different Orlicz spaces and generalized conditional type Holder inequality that we defined in [2]. Then we give some necessary and sufficient conditions for boundedness of…

Functional Analysis · Mathematics 2015-02-12 Yousef Estaremi

The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.

Classical Analysis and ODEs · Mathematics 2013-07-22 Imdat Iscan

We study coercive inequalities in Orlicz spaces associated to the probability measures on finite and infinite dimensional spaces which tails decay slower than the Gaussian ones. We provide necessary and sufficient criteria for such…

Probability · Mathematics 2007-05-23 Cyril Roberto , Boguslaw Zegarlinski

New Orlicz Brunn-Minkowski inequalities are established for rigid motion compatible Minkowski valuations of arbitrary degree. These extend classical log-concavity properties of intrinsic volumes and generalize seminal results of Lutwak and…

Metric Geometry · Mathematics 2014-12-01 Astrid Berg , Lukas Parapatits , Franz E. Schuster , Manuel Weberndorfer

In this paper, we establish a class of Stein-Weiss type inequality with partial variable weight functions on the upper half space using a weighted Hardy type inequality. Overcoming the impact of weighted functions, the existence of extremal…

Analysis of PDEs · Mathematics 2024-12-31 Jingbo Dou , Jingjing Ma

In this paper, we establish new inequalities of Ostrowski type for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates…

Classical Analysis and ODEs · Mathematics 2010-06-09 Havva Kavurmaci , Merve Avci , M. Emin Ozdemir

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute value are convex and concave.Finally, we gave some applications for special means.

Functional Analysis · Mathematics 2012-10-24 M. Emin Özdemir , Merve Avci Ardic

The main objective of this paper is to study some Ostrowski and Trapezoid type inequalities for double integrals on Time Scales. Some other interesting inequalities are also given.

Classical Analysis and ODEs · Mathematics 2018-07-27 Deepak B. Pachpatte

In this paper, new sharp weighted generalizations of Ostrowski and generalized trapezoid type inequalities for the Riemann--Stieltjes integrals are proved. Several related inequalities are deduced and investigated. New Simpson's type…

Classical Analysis and ODEs · Mathematics 2014-08-08 Mohammad W. Alomari

In this paper, we give some {\L}ojasiewicz-type inequalities and a nonsmooth slope inequality on non-compact domains for continuous definable functions in an o-minimal structure. We also give a necessary and sufficicent condition for which…

Algebraic Geometry · Mathematics 2020-01-31 Hoang Phi Dũng