Some New Integral Inequalities for Logarithmically Convex Functions with Applications

Ahmet Ocak Akdemir; Havva Kavurmac?-?nalan

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Some New Integral Inequalities for Logarithmically Convex Functions with Applications

机译：对数凸函数的一些新积分不等式及其应用

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摘要

In this paper, some new integral inequalities are established for functions whose derivatives in absolute value are logarithmically convex functions by using some useful equalities which were proven by Tseng et al.. Several new estimations are also given in numerical integration.

机译：本文利用Tseng等人证明的一些有用的等式，为那些绝对值导数为对数凸函数的函数建立了一些新的积分不等式。在数值积分中还给出了一些新的估计。

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《Turkish Journal of Analysis and Number Theory》 |2016年第5期|共6页
作者
Ahmet Ocak Akdemir; Havva Kavurmac?-?nalan;
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中图分类数学;
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1. Some Hermite-Hadamard type integral inequalities whose n-times differentiable functions are s-logarithmically convex functions [J] . Humaira Kalsoom, Sabir Hussain Punjab University Journal of Mathematics . 2019,第10期

机译：n次可微函数是s对数凸函数的一些Hermite-Hadamard型积分不等式
2. On Hermite-Hadamard Type Integral Inequalities for n-times Differentiable m- and (α, m)-Logarithmically Convex Functions [J] . E. Momoniat, M. A. Latif, S. S. Dragomir Filomat . 2016,第11期

机译：关于n次可微的m和（α，m）对数凸函数的Hermite-Hadamard型积分不等式
3. Inequalities of Ostrowski's type for m-and (α, m)-logarithmically convex functions via Riemann-Liouville Fractional integrals [J] . Ahmet Ocak Akdemir Journal of computational analysis and applications . 2014,第2期

机译：Riemann-Liouville分式积分的m和（α，m）对数凸函数的Ostrowski型不等式
4. Hermite-Hadamard Type Inequalities for (β, α; n, m)-Logarithmically and (β,α; n, m)-Godunova-Levin-Logarithmically Convex Functions [C] . Abdullah A?IKEL, Mevlüt TUN? International Conference on Advances in Natural and Applied Sciences . 2016

机译：Hermite-Hadamard型（β，α; n，m）的不平等性 - （β，α; n，m）-godunova-levin-对数凸函数
5. Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains. [D] . Sloane, Craig Andrew. 2011

机译：半空间和凸域上的分数积分的Hardy-Sobolev-Maz'ya不等式。
6. General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function [O] . G. Farid, K. A. Khan, N. Latif, -1

机译：通过扩展的广义Mittag-Leffler函数凸函数和m-凸函数的一般分数阶积分不等式
7. On Hermite-Hadamard type integral inequalities for n-times differentiable m- and (α,m)-logarithmically convex functions [O] . M.A. Latif, S.S. Dragomir, E. Momoniat 2016

机译：关于Hermite-Hadamard型的N次可分辨率M-和（α，M） - 单程凸函数的整体不等式

Some New Integral Inequalities for Logarithmically Convex Functions with Applications

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