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相关论文: Hermite-Hadamard-Fejer type inequalities for s-con…

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In this paper, we establish a new refinement of the right-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.

经典分析与常微分方程 · 数学 2019-03-05 Monika Nowicka , Alfred Witkowski

In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev system.

经典分析与常微分方程 · 数学 2012-12-06 Judit Makó , Zsolt Páles

In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.

经典分析与常微分方程 · 数学 2018-01-08 Monika Nowicka , Alfred Witkowski

In this work, new inequalities connected with the Steffensen's integral inequality for s-convex functions are proved

经典分析与常微分方程 · 数学 2016-04-08 Mohammad W. Alomari

In this paper, we establish several new inequalities for some twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

经典分析与常微分方程 · 数学 2012-06-12 Mehmet Zeki Sarikaya , Huseyin Yildirim

Fractal geometry and analysis constitute a growing field, with numerous applications, based on the principles of fractional calculus. Fractals sets are highly effective in improving convex inequalities and their generalisations. In this…

泛函分析 · 数学 2024-01-02 Peter Olamide Olanipekun

The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approximation theorem.

经典分析与常微分方程 · 数学 2020-01-01 Pál Burai , Judit Makó , Patrícia Szokol

In this paper, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities.

经典分析与常微分方程 · 数学 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir , Erhan Set

In this study, we establish and generalize some inequalities of Hadamard and Simpson type based on s-convexity in the second sense. Some applications to special means of positive real numbers are also given and generalized. Examples are…

经典分析与常微分方程 · 数学 2013-04-23 Mevlut Tunc

In this paper, we extend some estimates of the left hand side of a Hermite- Hadamard type inequality for nonconvex functions whose derivatives absolute values are preinvex and log-preinvex.

泛函分析 · 数学 2012-03-22 Mehmet Zeki Sarikaya , Hakan Bozkurt , Necmettin Alp

A mapping M(t) is considered to obtain some preliminary results and a new trapezoidal form of Fejer inequality related to the h-convex functions. Furthermore the obtained results are applied to achieve some new inequalities in connection…

泛函分析 · 数学 2019-02-19 M. Rostamian Delavar , S. S. Dragomir

In this paper, we not only give the extensions of the results given in [7] by Gill et al. for log-convex functions, but also obtain some new Hadamard type inequalities for log-convex, m-convex and (alpha,m)-convex functions.

泛函分析 · 数学 2011-04-01 Erhan Set , M. Emin Ozdemir , Sever S. Dragomir

In this paper we obtain the Hermite-Hadamard and Hermite-Hadamard-Fej\'er type inequalities for fractional integrals which generalize the two familiar fractional integrals namely, the Riemann-Liouville and the Hadamard fractional integrals…

经典分析与常微分方程 · 数学 2016-10-26 Hua Chen , Udita N. Katugampola

In this paper we defined $r-$convexity on the coordinates and we established some Hadamard-Type Inequalities.

经典分析与常微分方程 · 数学 2025-01-17 Ahmet Ocak Akdemir , M Emin Ozdemir

In this paper, we establish some new Hadamard type inequalities using elementary well known inequalities for functions whose inequalities absolute values are {\alpha}-, m-, ({\alpha},m)-logarithmically convex.

经典分析与常微分方程 · 数学 2013-01-30 Mevlut Tunc , Ebru Yuksel

In this paper, the notation of strongly log-convex functions with respect to c>0 is introduced and versions of Hermite Hadamard-type inequalities for strongly logarithmic convex functions are established.

经典分析与常微分方程 · 数学 2012-03-13 Mehmet Zeki Sarikaya , Hatice Yaldiz

In this paper, a new identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new general inequalities containing all of the Hermite-Hadamard and Simpson-like type for functions…

经典分析与常微分方程 · 数学 2013-10-21 İmdat İşcan

In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known H\"older inequality and power mean inequality, they obtain some integral inequalities related…

经典分析与常微分方程 · 数学 2014-07-07 Mevlut Tunc , Sevil Balgecti

New proofs of the classical Hermite-Hadamard inequality are presented and several applications are given, including Hadamard-type inequalities for the functions, whose derivatives have inflection points or whose derivatives are convex.…

综合数学 · 数学 2020-10-14 Ilham A. Aliev , Mehmet E. Tamar , Cagla Sekin

In this paper, the authors gives a new identity for Hadamard fractional integrals. By using of this identity, the authors obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (alpha?;m)-GA-convex…

经典分析与常微分方程 · 数学 2015-05-14 Mehmet Kunt , Imdat Iscan