A Note on Fractional Simpson Type Inequalities for Twice Differentiable Functions
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Walter De Gruyter Gmbh
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this paper, an equality is proved for twice differentiable convex functions involving Riemann-Liouville fractional integral. With the help of this equality, there are established several fractional Simpson type inequalities for functions whose second derivatives in absolute value are convex. By using special cases of the main results, previously obtained Simpson type inequalities are found for the Riemann-Liouville fractional integral.
Description
Keywords
Simpson type inequalities, convex function, fractional integrals, twice differentiable function, Integral-Inequalities, Convex-Functions
Journal or Series
Mathematica Slovaca
WoS Q Value
Q2
Scopus Q Value
Q2
Volume
73
Issue
3
