On new versions of Hermite-Hadamard-type inequalities based on tempered fractional integrals

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Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

Univ Nis, Fac Sci Math

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

This research is on the new versions of Hermite-Hadamard type inequalities. These inequalities established by means of convex mappings include tempered fractional integral operators. Obtaining these inequalities, well-known Holder inequality and power mean inequality are also utilized. The resulting Hermite-Hadamard type inequalities are a generalization of some of the studies on this subject, including Riemann-Liouville fractional integrals. What's more, new results are obtained through special choices.

Description

Keywords

. Hermite-Hadamard-type inequalities, trapezoid-type inequalities, midpoint-type inequalities, convex functions, frac-tional integrals, Riemann-Liouville fractional integrals, tempered fractional integrals, Differentiable Mappings, Real Numbers

Journal or Series

Filomat

WoS Q Value

N/A

Scopus Q Value

Q3

Volume

38

Issue

7

Citation