On Some New Fractional Ostrowski- and Trapezoid-Type Inequalities for Functions of Bounded Variations with Two Variables

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Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Mdpi

Access Rights

info:eu-repo/semantics/openAccess

Abstract

In this paper, we first prove three identities for functions of bounded variations. Then, by using these equalities, we obtain several trapezoid- and Ostrowski-type inequalities via generalized fractional integrals for functions of bounded variations with two variables. Moreover, we present some results for Riemann-Liouville fractional integrals by special choice of the main results. Finally, we investigate the connections between our results and those in earlier works. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role.

Description

Keywords

trapezoid-type inequality, fractional integrals, functions of bounded variations, Integral Inequality, Mappings, Companion, Improvement

Journal or Series

Symmetry-Basel

WoS Q Value

Q2

Scopus Q Value

Q2

Volume

13

Issue

9

Citation