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We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices

经典分析与常微分方程 · 数学 2014-01-06 D. Śliwińska , Sz. Wasowicz

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 we present an inexact proximal point method for variational inequality problem on Hadamard manifolds and study its convergence properties. The proposed algorithm is inexact in two sense. First, each proximal subproblem is…

最优化与控制 · 数学 2021-03-04 G. C. Bento , O. P. Ferreira , E. A. Papa Quiroz

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 we establish some new Hermite-Hadamard type inequalities for two operator convex functions of selfadjoint operators in Hilbert spaces.

泛函分析 · 数学 2012-07-05 Amir G. Ghazanfari

The aim of this paper is to present an original approach that takes advantage from the geometric features of strictly convex functions to tackle the problem of finding the minimum from another perspective. The general idea is that near the…

最优化与控制 · 数学 2023-07-21 E. Conti

In this study, the author establish some inequalities of Hadamard like based on convex and s-convexity in the second sense. Some applications to special means of positive real numbers are also given.

经典分析与常微分方程 · 数学 2014-02-03 Mevlut Tunc

Let $\Omega \subset \mathbb{R}^d$, $d \geq 2$, be a bounded convex domain and $f\colon \Omega \to \mathbb{R}$ be a non-negative subharmonic function. In this paper we prove the inequality \[ \frac{1}{|\Omega|}\int_\Omega f(x)\,dx \leq…

经典分析与常微分方程 · 数学 2020-05-25 Simon Larson

The subgradient method is a classical and foundational approach in non-smooth convex optimization; its simplicity, robustness, and role as a conceptual and algorithmic starting point have made it the backbone of many significant…

最优化与控制 · 数学 2026-05-26 G. C. Bento , J. X. Cruz Neto , J. O. Lopes , I. D. L. Melo

In this paper, we establish two new convex dominated function and then we obtain new Hadamard type inequalities related to this denitions.

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

This short but self-contained survey presents a number of elegant matrix/operator inequalities for general convex or concave functions, obtained with a unitary orbit technique. Jensen, sub or super-additivity type inequalities are…

泛函分析 · 数学 2014-02-26 Jean-Christophe Bourin , Eun-Young Lee

This monograph is associated with the renowned Hermite-Hadamard's integral inequality of $2$-variables on the co-ordinates. In this article we established several inequalities of the type of Hadamard's for the mappings whose absolute values…

泛函分析 · 数学 2015-08-21 M. I. Bhatti , M. Muddassar , F. Yasin

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

A generalization of classical determinant inequalities like Hadamard's inequality and Fischer's inequality is studied. For a version of the inequalities originally proved by Arveson for positive operators in von Neumann algebras with a…

算子代数 · 数学 2018-12-24 Soumyashant Nayak

We establish various Hardy inequalities involving the distance function from submanifolds of Riemannian manifolds, where the natural weights are expressed in terms of bounds of the mean curvature of the submanifold and sectional/Ricci…

偏微分方程分析 · 数学 2024-01-09 Ningwei Cui , Alexandru Kristály , Wei Zhao

This paper deals with the famous isoperimetric inequality. In a first part, we give some new functional form of the isoperimetric inequality, and in a second part, we give a quantitative form with a remainder term involving Wasserstein…

泛函分析 · 数学 2017-01-04 Erik Thomas

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 Hermite-Hadamard-Fejer type inequalities for s-convex functions in the second sense via fractional integrals. The some results presented here would provide extansions of those given in earlier works.

经典分析与常微分方程 · 数学 2014-12-03 Erhan Set , Imdat Iscan , Hasan Huseyin Kara

In this paper, we prove some new inequalities of Hadamard-type for s-convex functions on the co-ordinates.

经典分析与常微分方程 · 数学 2012-03-22 M. Emin Ozdemir , Mevlut Tunc , Ahmet Ocak Akdemir

New identity for fractional integrals have been defined. By using of this identity, some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the…

泛函分析 · 数学 2012-02-03 M. Emin Ozdemir , Merve Avci , Havva Kavurmaci