Title of article
Hermite-Hadamard type inequality for ψ-Riemann-Liouville fractional integrals via preinvex functions
Author/Authors
Sharma, Nidhi Department of Mathematics - Institute of Science - Banaras Hindu University, Varanasi, India , Kant Mishra, Shashi Department of Mathematics - Institute of Science - Banaras Hindu University, Varanasi, India , Hamdi, Abdelouahed Department of Mathematics Statistics and Physics - College of Arts and Sciences - Qatar University, Doha, Qatar
Pages
13
From page
3333
To page
3345
Abstract
The main aim of the present paper is to establish a new form of Hermite-Hadamard inequalities using left and right-sided ψ-Riemann-Liouville fractional integrals for preinvex functions and present two basic results of ψ-Riemann-Liouville fractional integral identities including the first-order derivative of a preinvex function. We derive some fractional Hermite-Hadamard inequalities with the help of these results. Further, we pointed out some applications for special means.
Keywords
Invex sets , Hermite-Hadamard inequalities , ψ -Riemann-Liouville fractional integrals , Holder's inequality , preinvex functions
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2714130
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