On fractional Simpson type integral inequalities for co-ordinated convex functions

被引：0
作者：
Sundas Khan
Hüseyin Budak
机构：
[1] Government College Women University,Department of Mathematics
[2] Düzce University,Department of Mathematics, Faculty of Science and Arts
来源：
Journal of Inequalities and Applications | / 2022卷
关键词：
Simpson’s inequality; Integral inequalities; Fractional calculus; Co-ordinated convex functions; 26D07; 26D10; 26D15; 26B15; 26B25;
D O I：
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学科分类号：
摘要：
In this study, we prove equality for twice partially differentiable mappings involving the double generalized fractional integral. Using the established identity, we offer some Simpson’s type inequalities for partially differentiable co-ordinated convex functions in a rectangle from the plane R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{R} ^{2}$\end{document}.
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