Certain integral inequalities associated with the strongly harmonic h-convex functions

Miguel Vivas-Cortez; Praveen Agarwal; Jorge E. Hernándezh; Shaher Momani

doi:10.18576/amis/170412

Certain integral inequalities associated with the strongly harmonic h-convex functions

Miguel Vivas-Cortez, Praveen Agarwal, Jorge E. Hernándezh, Shaher Momani

Facultad de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

We study the concept of strongly harmonically h-convex functions and some examples and properties of them. Here, we develop few inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we establish some applications of our results to special media of non zero and non negative real numbers.

Idioma original	Inglés
Páginas (desde-hasta)	639-648
Número de páginas	10
Publicación	Applied Mathematics and Information Sciences
Volumen	17
N.º	4
DOI	https://doi.org/10.18576/amis/170412
Estado	Publicada - 2023

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© 2023 NSP Natural Sciences Publishing Cor., All Rights Reserved

Financiación

Financiadores	Número del financiador
RUDN
Department of Atomic Energy, Government of India	02011/12/2020 NHBM (R.P)/RDII/7867
National Board for Higher Mathematics
Ministry of Science and Higher Education of the Russian Federation	104701-2-000
RUDN University

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10.18576/amis/170412

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title = "Certain integral inequalities associated with the strongly harmonic h-convex functions",

abstract = "We study the concept of strongly harmonically h-convex functions and some examples and properties of them. Here, we develop few inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we establish some applications of our results to special media of non zero and non negative real numbers.",

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author = "Miguel Vivas-Cortez and Praveen Agarwal and Hern{\'a}ndezh, {Jorge E.} and Shaher Momani",

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AU - Vivas-Cortez, Miguel

AU - Agarwal, Praveen

AU - Hernándezh, Jorge E.

AU - Momani, Shaher

PY - 2023

Y1 - 2023

N2 - We study the concept of strongly harmonically h-convex functions and some examples and properties of them. Here, we develop few inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we establish some applications of our results to special media of non zero and non negative real numbers.

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KW - Fejer inequality

KW - Hermite-Hadamard inequality

KW - convex functions

KW - h-convex functions

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Certain integral inequalities associated with the strongly harmonic h-convex functions

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