On results of midpoint-type inequalities for conformable fractional operators with twice-differentiable functions
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Honam Mathematical Soc
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
This article establishes an equality for the case of twice -differentiable convex functions with respect to the conformable fractional integrals. With the help of this identity, we prove sundry midpoint -type inequalities by twice-differentiable convex functions according to conformable fractional integrals. Several important inequalities are ob-tained by taking advantage of the convexity, the Hodlder inequality, and the power mean inequality. Using the specific selection of our results, we obtain several new and well-known results in the literature.
Description
Keywords
midpoint-type inequality, fractional conformable integrals, fractional conformable derivatives, fractional calculus, convex function, Hermite-Hadamard, Real Numbers, Integrals, Mappings
Journal or Series
Honam Mathematical Journal
WoS Q Value
Q3
Scopus Q Value
Volume
45
Issue
2
