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In this paper, new integral inequalities of Hadamard type involving several differentiable \Phi-r-convex functions are given.

Classical Analysis and ODEs · Mathematics 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz , Hakan Bozkurt

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 we present 43 new inequalities related to integer part and fractional part.

General Mathematics · Mathematics 2007-11-06 Mihaly Bencze , Florentin Smarandache

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 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 integral ineuqalities for n- times differentiable quasi-convex functions.

Classical Analysis and ODEs · Mathematics 2013-11-25 Merve Avci Ardic

Certain new inequalities for the sums of factorials are presented.

General Mathematics · Mathematics 2008-06-03 Mihaly Bencze , Florentin Smarandache

We obtain some new inequalities of Chebyshev Type.

Numerical Analysis · Mathematics 2016-10-03 Andriy L. Shidlich , Stanislav O. Chaichenko

Several inequalities of Ostrowski-Gruss-type availabe in the literature are generalized by considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper error bounds of such…

Classical Analysis and ODEs · Mathematics 2015-02-17 Ana Maria Acu , Heiner Gonska

The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequalities which are more generalized than the inequalities of Dragomir and Cerone. The current article obtains bounds for the deviation of a function…

Classical Analysis and ODEs · Mathematics 2015-05-15 Ather Qayyum , Muhammad Shoaib , Ibrahima Faye

In this paper, new refinements for integral and sum forms of H\"older inequality are established. We note that many existing inequalities related to the H\"older inequality can be improved via obtained new inequalities in here, we show this…

General Mathematics · Mathematics 2019-01-18 İmdat İşcan

We prove some new retarded integral inequalities. The results generalize those in [J. Math. Anal. Appl. 301 (2005), no. 2, 265--275].

Classical Analysis and ODEs · Mathematics 2009-04-18 Rui A. C. Ferreira , Delfim F. M. Torres

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of…

Classical Analysis and ODEs · Mathematics 2017-11-28 Khaled Mehrez , Praveen Agarwal

In this paper, we obtain some new inequalities for functions which are introduced by Godunova and Levin.

Functional Analysis · Mathematics 2013-11-25 M. Emin Ozdemir , Merve Avci

We establish some linear and nonlinear integral inequalities of Gronwall-Bellman-Bihari type for functions with two independent variables on general time scales. The results are illustrated with examples, obtained by fixing the time scales…

Classical Analysis and ODEs · Mathematics 2009-03-06 Rui A. C. Ferreira , Delfim F. M. Torres

We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new integral inequalities for convex functions via the…

Classical Analysis and ODEs · Mathematics 2017-04-04 Khaled Mehrez , Praveen Agarwal

We give an elementary estimate that entails and generalises numerous Korn inequalities scattered in the literature. As special instances, we obtain general Korn-type inequalities involving normal or tangential trace components, or lower…

Analysis of PDEs · Mathematics 2025-10-01 Franz Gmeineder , Endre Süli , Tabea Tscherpel

In this paper we obtain some weighted generalizations of Ostrowski type inequalities on time scales involving combination of weighted {\Delta}-integral means, i.e., a weighted Ostrowski type inequality on time scales involving combination…

Functional Analysis · Mathematics 2012-07-19 Wenjun Liu , Hüseyin Rüzgar , Adnan Tuna

Some inequalities for different types of convexity are established.

Classical Analysis and ODEs · Mathematics 2013-09-27 Merve Avci Ardic

We study iterations of integral kernels satisfying a transience-type condition and we prove exponential estimates analogous to Gronwall\rq{}s inequality. As a consequence we obtain estimates of Schr\"odinger perturbations of integral…

Functional Analysis · Mathematics 2012-08-17 Krzysztof Bogdan , Wolfhard Hansen , Tomasz Jakubowski