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In this paper, we establish some integral ineuqalities for n- times differentiable quasi-convex functions.

经典分析与常微分方程 · 数学 2013-11-25 Merve Avci Ardic

In this paper, two new lemmas are proved and inequalities are established for co-ordinated convex functions and co-ordinated s-convex functions.

经典分析与常微分方程 · 数学 2011-07-18 M. Emin Ozdemir , Havva Kavurmaci , Ahmet Ocak Akdemir , Merve Avci

In this paper, we establish some Hadamard-type inequalities based on coordinated quasi-convexity. Also we define a new mapping associated to coordinated convexity and we prove some properties of this mapping.

经典分析与常微分方程 · 数学 2011-07-21 M. Emin Ozdemir , Cetin Yildiz , Ahmet Ocak Akdemir

In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P-convex functions, therefore we proved a new inequality involving product of convex functions and…

经典分析与常微分方程 · 数学 2011-03-28 Ahmet Ocak Akdemir , M. Emin Ozdemir

In literature the Hermite-Hadamard inequality was eligible for many reasons, one of the most surprising and interesting that the Hermite-Hadamard inequality combine the midpoint and trapezoid formulae in an inequality. In this work, a…

经典分析与常微分方程 · 数学 2016-03-29 Mohammad W. Alomari

In this paper, we establish some Simpson type inequalities for functions whose third derivatives in the absolute value are h-convex and (\alpha,m)-convex, respectively.

经典分析与常微分方程 · 数学 2012-10-17 Wenjun Liu

In this paper, a new lemma is proved and inequalities of Simpson type are established for co-ordinated convex functions and bounded functions.

经典分析与常微分方程 · 数学 2011-01-05 M. Emin Ozdemir , Ahmet Ocak Akdemir , Havva Kavurmaci , Merve Avci

It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality…

泛函分析 · 数学 2012-07-16 Szymon Wasowicz , Alfred Witkowski

In this paper, we establish some new inequalities for functions whose third derivatives in the absolute value are m-convex.

泛函分析 · 数学 2011-12-16 M. Emin Özdemir , Merve Avci , Havva Kavurmaci

Recently, the so-called Hermite-Hadamard inequality for (operator) convex functions with one variable has known extensive several developments by virtue of its nice properties and various applications. The fundamental target of this paper…

经典分析与常微分方程 · 数学 2024-05-22 Mustapha Raissouli , Lahcen Tarik , Mohamed Chergui

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.

经典分析与常微分方程 · 数学 2013-10-04 Merve Avci Ardic

In this article, we focus on establishing a new variant of Hermite-Hadamard type inequalities for operator convex maps using an appropriate probability measure. To underline the usefulness of these inequalities, we investigate some…

泛函分析 · 数学 2024-05-21 Mustapha Raissouli , Lahcen Tarik , Mohamed Chergui

In this paper we first introduce the Heron and Heinz means of two convex functionals. Afterwards, some inequalities involving these functional means are investigated. The operator versions of our theoretical functional results are…

泛函分析 · 数学 2018-12-20 Mustapha Raïssouli , Shigeru Furuichi

The aim of the present paper is to obtain some new fractional integral inequalities for convex functions. Saigo fractional integral operator is used to establish the results.

经典分析与常微分方程 · 数学 2018-11-06 Vaijanath L. Chinchane , Deepak B. Pachpatte

New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have…

经典分析与常微分方程 · 数学 2013-04-01 Erhan Set

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.

经典分析与常微分方程 · 数学 2012-11-29 Mevlut Tunc

In the paper, we introduce the generalized convex function on fractal sets of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen inequality and…

经典分析与常微分方程 · 数学 2014-06-30 Huixia Mo , Xin Sui , Dongyan Yu

Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the existence and uniqueness of initial and boundary value…

经典分析与常微分方程 · 数学 2022-02-09 Yamilet Quintana , José M. Rodríguez , José M. Sigarreta Almira

In this paper, we obtained some inequalities for \phi_{s}-convex function, \phi-Godunova-Levin function, \phi-P-function and log-\phi-convex function. Finally, we defined the class of \phi-quasi-convex functions and we examined some…

泛函分析 · 数学 2012-09-25 Merve Avci Ardic , M. Emin Ozdemir

Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates when the function is somehow more convex than another. In…

泛函分析 · 数学 2020-03-25 M. Sababheh , S. Furuichi , H. R. Moradi