On generalizations of some inequalities for convex functions via quantum integrals

被引：0
作者：
Samet Erden
Sabah Iftikhar
Mohsen Rostamian Delavar
Poom Kumam
Phatiphat Thounthong
Wiyada Kumam
机构：
[1] Bartın University,Department of Mathematics, Faculty of Science
[2] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTT Fixed Point Research Laboratory, KMUTT
[3] University of Bojnord,Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science
[4] King Mongkut’s University of Technology North Bangkok,Department of Mathematics, Faculty of Basic Sciences
[5] Rajamangala University of Technology Thanyaburi (RMUTT),Renewable Energy Research Centre (RERC)
[6] China Medical University Hospital,Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology
[7] China Medical University,Department of Medical Research
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2020年 / 114卷
关键词：
Convex functions; Quantum calculus; Simpson’s second type integral inequalities; 26D15; 26D10; 90C23;
D O I：
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学科分类号：
摘要：
In this paper, some new Simpson’s second type quantum integral inequalities are established for convex functions. Some special cases are discussed for the case q→1-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q\rightarrow 1^-$$\end{document}. Moreover, some inequalities related to Simpson’s 38\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \frac{3}{8}$$\end{document} formula are obtained.
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