Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Abstract In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean inequality.

Bibliographic Details
Main Author: Muhammad Amer Latif
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Advances in Difference Equations
Subjects:
Hermite–Hadamard’s inequality
Stolarsky’s mean
Convex function
r-convex function
Hölder’s inequality
Hölder–İşcan inequality
Online Access:https://doi.org/10.1186/s13662-021-03517-3

Internet

https://doi.org/10.1186/s13662-021-03517-3

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