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In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are m-convex. New bounds and estimations are obtained. Applications…

经典分析与常微分方程 · 数学 2011-12-19 M. Emin Ozdemir , Ahmet Ocak Akdemir , Merve Avci

In this paper several inequalities of the right-hand side of Hermite-Hadamard inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are ({\alpha},m)-convex.Some applications to special…

经典分析与常微分方程 · 数学 2013-04-19 Imdat Işcan

We establish some new inequalities of Hermite-Hadamard type for functions whose fourth derivatives absolute values are quasi-convex. Further, we give new identity.Using this new identity, we establish similar inequalities for left-hand side…

经典分析与常微分方程 · 数学 2016-02-17 Imran Abbas Baloch , Basharat Rehman Ali

In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard type inequality for nonconvex functions whose second derivatives absolute values are \phi-convex, log-\phi-convex, and quasi-\phi-convex.

泛函分析 · 数学 2013-12-04 Mehmet Zeki Sarikaya , Hakan Bozkurt , Mehmet Eyüp Kiris

In this paper several inequalities of the right-hand side of Hermite-Hadamard's inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are strongly {\varphi}-convex with modulus c>0.

经典分析与常微分方程 · 数学 2012-05-29 Imdat Iscan , Erdal Unluyol

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 extend some estimates of the right and left hand side of a Hermite-Hadamard type inequality for nonconvex functions whose derivatives absolute values are \Phi-convex and quasi-\Phi-convex was introduced by Noor in Noor1.

经典分析与常微分方程 · 数学 2013-04-03 Mehmet Zeki Sarikaya , Hakan Bozkurt , Necmettin Alp

In this paper, we establish several new inequalities for 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 2010-05-05 M. Z. Sarikaya , A. Saglam , H. Yildirim

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

In this paper, some new inequalities of the Hermite-Hadamard type for h- convex functions whose modulus of the derivatives are h-convex and applications for special means are given.

经典分析与常微分方程 · 数学 2012-02-13 Mevlut Tunc , Huseyin Yildirim

In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for prequasiinvex functions via fractional integrals.

经典分析与常微分方程 · 数学 2012-04-05 Imdat Iscan

In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are…

经典分析与常微分方程 · 数学 2010-06-09 Havva Kavurmaci , Merve Avci , M. Emin Ozdemir

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…

经典分析与常微分方程 · 数学 2017-11-28 Khaled Mehrez , Praveen Agarwal

In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.

经典分析与常微分方程 · 数学 2010-11-09 Cetin Yildiz , Mustafa Gurbuz , Ahmet Ocak Akdemir

In this paper, some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.

经典分析与常微分方程 · 数学 2013-07-23 İmdat İşcan

In this paper, some new integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions are established and some applications to special means of positive real numbers are also given.

经典分析与常微分方程 · 数学 2013-07-24 Imdat Iscan

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, we establish several new convex dominated functions and then we obtain new Hadamard type inequalities.

经典分析与常微分方程 · 数学 2012-02-10 M. Emin Ozdemir , Havva Kavurmaci , Mevlut Tunc

In this paper, The author introduces the concepts of the GA-s-convex functions in the first sense and second sense and establishes some integral inequalities of Hermite-Hadamard type related to the GA-s-convex functions.

经典分析与常微分方程 · 数学 2013-07-12 Imdat Iscan

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
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