Certain Grüss-type inequalities via tempered fractional integrals concerning another function

被引：0
|
作者：
Gauhar Rahman
Kottakkaran Sooppy Nisar
Saima Rashid
Thabet Abdeljawad
机构：
[1] Shaheed Benazir Bhutto University,Department of Mathematics
[2] Prince Sattam bin Abdulaziz University,Department of Mathematics, College of Arts and Sciences
[3] Government College University,Department of Mathematics
[4] Prince Sultan University,Department of Mathematics and General Sciences
[5] China Medical University,Department of Medical Research
[6] Asia University,Department of Computer Science and Information Engineering
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
Fractional integrals; Generalized tempered fractional integrals; Inequalities; 26A33; 26D10; 26D53; 05A30;
D O I：
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中图分类号：
学科分类号：
摘要：
We study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related inequalities by utilizing the GTF-integral. Additionally, we present various special cases of the main result. By utilizing the connection between GTF-integral and Riemann–Liouville integral concerning another function Ψ in the kernel, certain distinct particular cases of the main result are also presented. Furthermore, certain other inequalities can be formed by applying various kinds of conditions on the function Ψ.
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