Inequalities of trapezoidal type involving generalized fractional integrals

Bibliographic description

punktacja MEiN [2020]: 70

title:	Inequalities of trapezoidal type involving generalized fractional integrals
author:	Baleanu Dumitru, Mohammed Pshtiwan Othman, Zeng Shengda
journal title:	Alexandria Engineering Journal
volume:	59
issue:	5
date of publication :	2020
pages:	2975-2984
ISSN:	1110-0168
eISSN:	2090-2670
DOI:	10.1016/j.aej.2020.03.039
language:	English
journal language:	English
abstract in English:	During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for –preinvex functions, which are differentiable and twice differentiable, are established. Then, by employing those results, we explore the new estimates on trapezoidal type inequalities for classical integral and Riemann–Liouville fractional integrals, respectively. Finally, we apply our new inequalities to construct inequalities involving moments of a continuous random variable.
keywords in English:	generalized fractional integral, preinvex function, integral inequalities
affiliation:	Wydział Matematyki i Informatyki
type:	journal article
subtype:	academic paper