SOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS

Mahir Kadakal; Praveen Agarwal; İMdat İŞcan

doi:10.46793/KgJMat2505.669K

SOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS

Mahir Kadakal
, Praveen Agarwal
, İMdat İŞcan

Nonlinear Dynamic Research Centre (NDRC)

Bayburt University
International College of Engineering
People's Friendship University of Russia
Giresun Universitesi

Research output: Contribution to journal › Article › peer-review

Abstract

In this study, by using an integral identity together with both the Hölder and the power-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex function. Also, we give some applications for special means.

Original language	English
Pages (from-to)	669-675
Number of pages	7
Journal	Kragujevac Journal of Mathematics
Volume	49
Issue number	5
DOIs	https://doi.org/10.46793/KgJMat2505.669K
State	Published - 2025

Keywords

26A51
26D15
Convex function
arithmetic-harmonically convex function Hermite-Hadamard’s inequality

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10.46793/KgJMat2505.669K

Cite this

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title = "SOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS",

abstract = "In this study, by using an integral identity together with both the H{\"o}lder and the power-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex function. Also, we give some applications for special means.",

keywords = "26A51, 26D15, Convex function, arithmetic-harmonically convex function Hermite-Hadamard{\textquoteright}s inequality",

author = "Mahir Kadakal and Praveen Agarwal and İMdat İ{\c S}can",

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doi = "10.46793/KgJMat2505.669K",

language = "English",

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AU - İŞcan, İMdat

PY - 2025

Y1 - 2025

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AB - In this study, by using an integral identity together with both the Hölder and the power-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex function. Also, we give some applications for special means.

KW - 26A51

KW - 26D15

KW - Convex function

KW - arithmetic-harmonically convex function Hermite-Hadamard’s inequality

UR - https://www.scopus.com/pages/publications/105018224789

U2 - 10.46793/KgJMat2505.669K

DO - 10.46793/KgJMat2505.669K

M3 - Article

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SN - 1450-9628

VL - 49

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JO - Kragujevac Journal of Mathematics

JF - Kragujevac Journal of Mathematics

IS - 5

ER -

SOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONS

Abstract

Keywords

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