On Grüss inequalities within generalized K-fractional integrals

被引：0
作者：
Saima Rashid
Fahd Jarad
Muhammad Aslam Noor
Khalida Inayat Noor
Dumitru Baleanu
Jia-Bao Liu
机构：
[1] Government College University,Department of Mathematics
[2] Cankaya University,Department of Mathematics
[3] COMSATS University Islamabad,Department of Mathematics
[4] Institute of Space Sciences,Department of Medical Research, China Medical University Hospital
[5] China Medical University,School of Mathematics and Physics
[6] Anhui Jianzhu University,Department of Mathematics
[7] Southeast University,undefined
来源：
Advances in Difference Equations | / 2020卷
关键词：
Grüss inequality; Generalized ; -fractional integral; Integral inequality; 26E60; 26D15; 26D10; 26A33;
D O I：
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学科分类号：
摘要：
In this paper, we introduce the generalized K\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{K}$\end{document}-fractional integral in the frame of a new parameter K>0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{K}>0$\end{document}. This paper offers some new important inequalities of Grüss type using the generalized K\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{K}$\end{document}-fractional integral and associated integral inequalities. Our results with this new integral operator have the abilities to be implemented for the evaluation of many mathematical problems related to the real world applications.
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