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In this paper, we obtained some new Ostrowski-Gruss type inequalities contains twice differentiable functions.

Classical Analysis and ODEs · Mathematics 2010-12-27 M. Emin Ozdemir , Ahmet Ocak Akdemir , Erhan Set

In the article we propose a general scheme for solutions of some approximation problems under a rather general setting. We illustrate the application of the proposed scheme by a series of examples, in particular we show that many results in…

Functional Analysis · Mathematics 2023-12-29 Oleg Kovalenko

We first prove some weighted inequalities for compositions of functions on time scales which are in turn applied to establish some new dynamic Opial-type inequalities in several variables. Some generalizations and applications to partial…

Classical Analysis and ODEs · Mathematics 2016-05-31 Tran Dinh Phung

The main objective of this paper is to present Ostrowski's inequality for a broader class of functions and to propose a refinement to the classical version of it. The original Ostrowski's inequality can be stated as follows "If…

General Mathematics · Mathematics 2025-08-05 Angshuman R. Goswami

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

In this paper, we established new inequalities of Ostrowski's type for the class of preinvex functions are introduced.

Classical Analysis and ODEs · Mathematics 2013-11-12 Imdat Iscan

We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.

Optimization and Control · Mathematics 2012-11-05 Martin J. Bohner , Rui A. C. Ferreira , Delfim F. M. Torres

We establish a lower bound on the total mass of the time slices of (n + 1)-dimensional asymptotically flat standard static spacetimes under the timelike convergence condition. The inequality can be viewed equivalently as a Minkowski-type…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Brian Harvie

In this paper, we establish Ostrowski's type inequalities for strongly-convex functions where c>0 by using some classical inequalities and elemantery analysis. We also give some results for product of two strongly-convex functions.

Classical Analysis and ODEs · Mathematics 2012-06-12 Erhan Set , M. Emin Ozdemir , M. Zeki Sarikaya , A. Ocak Akdemir

We obtain inequalities of H\"{o}lder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of non-negative weights.

Classical Analysis and ODEs · Mathematics 2015-06-10 Petr Chunaev , Ljiljanka Kvesić , Josip Pečarić

In this paper, some new integral inequalities on time scales are presented by using elementarily analytic methods in calculus of time scales.

Classical Analysis and ODEs · Mathematics 2013-11-05 Li Yin , Feng Qi

In this paper, we establish new an inequality of weighted 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 , H. Ogunmez

In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.

Classical Analysis and ODEs · Mathematics 2010-12-27 M. Emin Ozdemir , Ahmet Ocak Akdemir , Erhan Set

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

We give a proposal to generalize the concept of the differential equations on time scales, such that they can be more appropriate for the analysis of real world problems, and give more opportunities to increase the theoretical depth of…

Dynamical Systems · Mathematics 2010-10-12 Marat Akhmet , Mehmet Turan

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 formulate and prove Wendroff's inequalities on time scales. Next, we deduct some of Pachpatte's inequalities.

General Mathematics · Mathematics 2020-03-12 Svetlin G. Georgiev , Goverdan Khadekar , Praveen Kumar

A generalization of the H\"older inequality is considered. Its relations with a previously obtained improvement of the Cauchy--Schwarz inequality are discussed.

Classical Analysis and ODEs · Mathematics 2017-01-17 Iosif Pinelis

In this paper we establish a refinement of the companion of Ostrowski inequality for functions of bounded variation. Applications for the trapezoid inequality, the mid-point inequality, and to probability density functions are also given.

Functional Analysis · Mathematics 2012-07-18 Wenjun Liu , Yun Sun

In this paper, we provide some new generalizations of Feng Qi type integral inequalities on time scales by using elementary analytic methods.

Classical Analysis and ODEs · Mathematics 2016-01-05 Li Yin , Valmir Krasniqi