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相关论文: On the Hadamard's type inequalities for L-Lipschit…

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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 recent years, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We also introduce the concept of harmonically convex functions on the co-ordinates. Also, we establish…

经典分析与常微分方程 · 数学 2014-04-28 Erhan Set , Imdat Iscan

In this paper, two new classes of convex functions as a generalization of convexity which is called (h-s)_{1,2}-convex functions are given. We also prove some Hadamard-type inequalities and applications to the special means are given.

经典分析与常微分方程 · 数学 2013-04-17 M. Emin Ozdemir , Mevlut Tunc , Ahmet Ocak Akdemir

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, 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 prove a Hadamard type fuzzy inequality for (s,m)-convex function in second sense and some exam- ples are given.

经典分析与常微分方程 · 数学 2018-03-13 Deepak B. Pachpatte , Kavita U. Shinde

In this paper we establish some estimates of the right hand side of a Hermite-Hadamard type inequality in which some quasi-convex functions are involved.

经典分析与常微分方程 · 数学 2011-03-11 Cetin Yildiz , Ahmet Ocak Akdemir , Merve Avci

We find new bi-Lipschitz invariants for functions of two complex variables.

复变函数 · 数学 2025-06-06 Piotr Migus , Laurenţiu Păunescu , Mihai Tibăr

The author introduce the concept of harmonically convex functions and establish some Hermite-Hadamard type inequalities of these classes of functions

经典分析与常微分方程 · 数学 2013-03-26 Imdat Iscan

In this paper, we are interested in investigating a weighted variant of Hermite-Hadamard type inequalities involving convex functionals. The approach undertaken makes it possible to refine and reverse certain inequalities already known in…

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

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, a general form of integral inequalities of Hermite-Hadamard's type through differentiability for s-Convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral…

泛函分析 · 数学 2013-06-25 Muhammad Muddassar , Muhammad Iqbal Bhatti

This paper is concerned with the sensitivity analysis of a class of parameterized fixed-point problems that arise in the context of obstacle-type quasi-variational inequalities. We prove that, if the operators in the considered fixed-point…

最优化与控制 · 数学 2021-05-14 Constantin Christof , Gerd Wachsmuth

In the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the $n$-th order are $(\alpha,m)$-convex and deduce some known results. As applications of the newly-established…

经典分析与常微分方程 · 数学 2014-09-05 Feng Qi , Muhammad Amer Latif , Wen-Hui Li , Sabir Hussain

In the present paper, we establish some new fractional integral inequalities similar to P$\acute{o}$lya-Szeg$\ddot{o}$ integral inequality and fractional inequality related to Minkowsky inequality by using the Hadamard fractional integral…

经典分析与常微分方程 · 数学 2016-02-15 Vaijanath L. Chinchane , Deepak B. Pachpatte , Asha B. Nale

We improve the rate function of McDiarmid's inequality for Hamming distance. In particular, applying our result to the separately Lipschitz functions of independent random variables, we also refine the convergence rate function of…

概率论 · 数学 2016-11-15 Xiequan Fan

The main purpose of the present article is to give some new Hilbert's sum type inequalities, which in special cases yield the classical Hilbert's inequalities. Our results provide some new estimates to these types of inequalities.

综合数学 · 数学 2020-02-20 Chang-Jian Zhao , Wing Sum Cheung

In the paper, by using Lupa\c{s} integral inequality, the authors find some new inequalities for the complete elliptic integrals of the first and second kinds. These results improve some known inequalities.

经典分析与常微分方程 · 数学 2015-01-23 Li Yin , Feng Qi

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

The aim of this paper is to obtain new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. These inequalities give us the possibility to derive estimates from below of the first…

偏微分方程分析 · 数学 2020-10-02 Nikolai Kutev , Tsviatko Rangelov