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

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In this paper, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. Some…

经典分析与常微分方程 · 数学 2010-05-18 M. Z. Sarikaya , N. Aktan

In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

经典分析与常微分方程 · 数学 2014-01-14 İmdat İscan

In this paper, we establish several inequalities for different convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

经典分析与常微分方程 · 数学 2014-08-24 M. Emin Özdemir , ÇEtin Yildiz , Havva Kavurmaci

The aim of this paper is to generalize the Hermite--Hadamard inequality for functions convex on the coordinates. Our composite result generalizes the result of Dragomir in \cite{Drag}. Many other interesting inequalities can be derived from…

经典分析与常微分方程 · 数学 2018-01-01 Eze R. Nwaeze

The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality will be presented and some applications including norm and…

泛函分析 · 数学 2019-08-07 Hamid Reza Moradi , Mohammad Sababheh , Shigeru Furuichi

In this paper we established a new Simpson type conformable fractional integral equality for convex functions. Based on this identity, some results related to Simpson-like type inequalities are obtained. These results are then applied to…

经典分析与常微分方程 · 数学 2024-09-05 Zeynep Şanlı

The aim of this paper is to present some new Fejer-type results for convex functions. Improvements of Young's inequality (the arithmetic-geometric mean inequality) and other applications to special means are pointed as well.

经典分析与常微分方程 · 数学 2012-03-22 N. Minculete , F. -C. Mitroi

An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for…

数值分析 · 数学 2025-10-20 Sever Silvestru Dragomir

In this paper some Hadamard_type inequalities for product of convex functions of 2-variables on the co-ordinates are given.

经典分析与常微分方程 · 数学 2011-04-29 M Emin Ozdemir , Ahmet Ocak Akdemir

In this paper, using functions whose derivatives absolute values are strongly $\Phi_{h}$-convex with modulus c>0, we obtained new inequalities releted to the right and left side of Hermite-Hadamard inequality by using new integral…

经典分析与常微分方程 · 数学 2012-06-15 Mehmet Zeki Sarikaya , Kubilay Ozcelik

In this paper, one new classes of convex functions which is called MT-convex functions are given. We also establish some Hadamard-type inequalities.

经典分析与常微分方程 · 数学 2012-05-25 Mevlut Tunc , Huseyin Yildirim

In this article, we define a new class of convexity called generalized $(h-m)$-convexity, which generalizes $h$-convexity and $m$-convexity on fractal sets $\mathbb{R}^{\alpha}$ $(0<\alpha\leq 1)$. Some properties of this new class are…

泛函分析 · 数学 2021-05-05 Ohud Almutairi , Adem Kiliçman

Inequalities play important roles not only in mathematics, but also in other fields, such as economics and engineering. Even though many results are published on Hermite-Hadamard (H-H) type inequalities, new researcher to this fields often…

经典分析与常微分方程 · 数学 2021-11-23 Ohud Almutairi , Adem Kılıçman

We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex…

泛函分析 · 数学 2013-04-02 Mohammad Sal Moslehian

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h -($\alpha$?;m))-convex.The generalized…

泛函分析 · 数学 2013-04-11 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this paper, new identity for fractional integrals have been defined. By using of this identity, we obtained new general inequalities containing all of Hadamard, Ostrowski and Simpson type inequalities for for functions whose derivatives…

经典分析与常微分方程 · 数学 2013-08-01 Imdat Iscan

In this paper, we establish various inequalities for some mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose absolute values belong to the class K?;s m;1 and K?;s m;2.

经典分析与常微分方程 · 数学 2013-08-20 Muhammad Muddassar , Ahsan Ali

In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power…

经典分析与常微分方程 · 数学 2012-08-01 Imdat Iscan

Given any ${\bf{a}}: = \left( {a_1 ,a_2 , \ldots ,a_n } \right)$ and ${\bf{b}}: = \left( {b_1 ,b_2 , \ldots ,b_n } \right)$ in $\mathbb{R}^n$. The $\textbf{n}$-fold convex function defined on $\left[ {{\bf{a}},{\bf{b}}} \right]$,…

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

We extend the notion of convexity of functions defined on global nonpositive curvature spaces by introducing (geodesically) $h$-convex functions. We prove estimates of Hermite-Hadamard type via Katugampola's fractional integrals. We obtain…

泛函分析 · 数学 2024-04-16 Peter Olamide Olanipekun