Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style

Muharrem Tomar; Praveen Agarwal; Junesang Choi

doi:10.5269/bspm.v38i1.32820

Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style

Muharrem Tomar
, Praveen Agarwal
, Junesang Choi

Ordu University
International College of Engineering
Dongguk University

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

27 Scopus citations

Abstract

We aim to establish certain generalized Hermite-Hadamard’s inequalities for generalized convex functions via local fractional integral. As special cases of some of the results presented here, certain interesting inequalities involving generalized arithmetic and logarithmic means are obtained.

Original language	English
Pages (from-to)	101-116
Number of pages	16
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	38
Issue number	1
DOIs	https://doi.org/10.5269/bspm.v38i1.32820
State	Published - 2020
Externally published	Yes

Keywords

Fractal sets
Generalized Hölder inequality
Generalized convex functions
Generalized hermite–Hadamard inequality

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10.5269/bspm.v38i1.32820

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title = "Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style",

abstract = "We aim to establish certain generalized Hermite-Hadamard{\textquoteright}s inequalities for generalized convex functions via local fractional integral. As special cases of some of the results presented here, certain interesting inequalities involving generalized arithmetic and logarithmic means are obtained.",

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AU - Tomar, Muharrem

AU - Agarwal, Praveen

AU - Choi, Junesang

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PY - 2020

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AB - We aim to establish certain generalized Hermite-Hadamard’s inequalities for generalized convex functions via local fractional integral. As special cases of some of the results presented here, certain interesting inequalities involving generalized arithmetic and logarithmic means are obtained.

KW - Fractal sets

KW - Generalized Hölder inequality

KW - Generalized convex functions

KW - Generalized hermite–Hadamard inequality

UR - https://www.scopus.com/pages/publications/85063538852

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DO - 10.5269/bspm.v38i1.32820

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Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style

Abstract

Keywords

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