New version of fractional Simpson type inequalities for twice differentiable functions
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Access Rights
info:eu-repo/semantics/openAccess
Abstract
Simpson inequalities for differentiable convex functions and their fractional versions have been studied extensively. Simpson type inequalities for twice differentiable functions are also investigated. More precisely, Budak et al. established the first result on fractional Simpson inequality for twice differentiable functions. In the present article, we prove a new identity for twice differentiable functions. In addition to this, we establish several fractional Simpson type inequalities for functions whose second derivatives in absolute value are convex. This paper is a new version of fractional Simpson type inequalities for twice differentiable functions.
Description
Keywords
Simpson type inequalities, Convex function, Fractional integrals, Integral-Inequalities, Convex-Functions
Journal or Series
Advances In Difference Equations
WoS Q Value
Q1
Scopus Q Value
Q2
Volume
2021
Issue
1
