Integral Inequalities of Simpson's Type for Strongly Extended (s, m)-Convex Functions

Jun Zhang; Zhi-Li Pei; Feng Qi

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Integral Inequalities of Simpson's Type for Strongly Extended (s, m)-Convex Functions

机译：SIMPSON类型的积分不等式强大扩展（S，M） - 耦合功能

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摘要

In the paper, the authors introduce a new concept "strongly extended (s, m)-convex function" and establish some integral inequalities of Simpson's type for strongly extended (s, m)-convex functions. 2010 Mathematics Subject Classification: Primary 26A51; Secondary 26D15, 41A55.

机译：在本文中，作者介绍了一个新的概念“强烈扩展（S，M） - 透露函数”，并为辛普森类型的强烈扩展（S，M）-Convex功能建立一些积分不等式。 2010年数学主题分类：主要26A51; 次级26d15,41a55。

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《Journal of computational analysis and applications》 |2019年第3期|共10页
作者
Jun Zhang; Zhi-Li Pei; Feng Qi;
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作者单位

College of Mathematics Inner Mongolia University for Nationalities Tongliao Inner Mongolia 028043 China;

College of Mathematics Inner Mongolia University for Nationalities Tongliao Inner Mongolia 028043 China;

Department of Mathematics College of Science Tianjin Polytechnic University Tianjin 300387 China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
strongly extended (s; m)-convex function; integral inequality of Simpson's type; H?lder integral inequality;

机译：强烈延长（S;M） - 透露函数;辛普森类型的整体不等式;H？粘液积分不等式;

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专利

1. Integral Inequalities of Simpson's Type for Strongly Extended (s, m)-Convex Functions [J] . Jun Zhang, Zhi-Li Pei, Feng Qi Journal of computational analysis and applications . 2019,第3期

机译：SIMPSON类型的积分不等式强大扩展（S，M） - 耦合功能
2. Some Integral Inequalities of Simpson Type for Strongly Extended s-Convex Functions [J] . Yixuan Sun, Hongping Yin Advances in Pure Mathematics . 2016,第11期

机译：强扩展s-凸函数的Simpson型积分不等式
3. Generalized Simpson-like type integral inequalities for differentiable convex functions via Riemann-Liouville integrals [J] . Jaekeun Park International journal of mathematical analysis . 2015,第16期

机译：Riemann-Liouville积分用于可微凸函数的广义Simpson型积分不等式
4. On new Simpson type inequalities for quasi-convex functions via Riemann-Liouville integrals [C] . Erhan Set, M. Emin Ozdemir, Nazli Uygun International Conference on Advances in Natural and Applied Sciences . 2016

机译：关于通过riemann-liouville积分的准凸函数的新辛普森型不等式
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. Integral inequalities of extended Simpson type for (alpha,m)-varepsilon-convex functions [O] . Jun Zhang, Zhi-Li Pei, Gao-Chao Xu, 2017

机译：扩展辛普森类型的积分不等式（alpha，m）-varepsilon-convex函数

Integral Inequalities of Simpson's Type for Strongly Extended (s, m)-Convex Functions

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