New Inequalities of Simpson’s type for differentiable functions via generalized convex function

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2021-03-17 DOI:10.5802/CRMATH.152

Shan E. Farooq, Khurram Shabir, S. Qaisar, Farooq Ahmad, O. A. Almatroud

引用次数: 1

Abstract

This article presents some new inequalities of Simpson’s type for differentiable functions by using (α,m)-convexity. Some results for concavity are also obtained. These new estimates improve on the previously known ones. Some applications for special means of real numbers are also provided. 2020 Mathematics Subject Classification. 26A15, 26A51, 26D10. Funding. This work was supported by the Higher Education Commission (Islamabad) thorough the National Research Program for Universities, Grant No. 7359/Punjab/NRPU/R&D/HEC/2017. Manuscript received 19th July 2020, revised 16th August 2020 and 21st October 2020, accepted 17th November 2020.

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广义凸函数可微函数的Simpson型新不等式

利用(α，m)-凸性给出了可微函数的几个新的Simpson型不等式。对于凹性也得到了一些结果。这些新的估计改进了以前已知的估计。给出了实数特殊手段的一些应用。2020数学学科分类。26A15, 26A51, 26D10。资金。这项工作得到了高等教育委员会(伊斯兰堡)通过国家大学研究计划的支持，拨款号7359/Punjab/NRPU/R&D/HEC/2017。稿件收到2020年7月19日，修改2020年8月16日和2020年10月21日，接受2020年11月17日。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.