Fejér type inequalities for harmonically-convex functions with applications

Muhammad Amer Latif; Sever Silvestru Dragomir; Ebrahim Momoniat

doi:10.11948/2017050

Fejér type inequalities for harmonically-convex functions with applications

Muhammad Amer Latif, Sever Silvestru Dragomir, Ebrahim Momoniat

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

11 Citations (Scopus)

Abstract

In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic convexity and some auxiliary results, some new Fejér type integral inequalities are presented. Applications to special means of positive real numbers are given as well.

Original language	English
Pages (from-to)	795-813
Number of pages	19
Journal	Journal of Applied Analysis and Computation
Volume	7
Issue number	3
DOIs	https://doi.org/10.11948/2017050
Publication status	Published - 2017
Externally published	Yes

Keywords

Convex function
Fejér’s inequality
Harmonically-convex function
Hermite-Hadamard’s inequality
Hölder’s inequality
Power mean inequality

ASJC Scopus subject areas

General Mathematics

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10.11948/2017050

Cite this

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abstract = "In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic convexity and some auxiliary results, some new Fej{\'e}r type integral inequalities are presented. Applications to special means of positive real numbers are given as well.",

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AU - Dragomir, Sever Silvestru

AU - Momoniat, Ebrahim

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AB - In this paper, a new weighted identity involving harmonically symmetric functions and differentiable functions is established. By using the notion of harmonic symmetricity, harmonic convexity and some auxiliary results, some new Fejér type integral inequalities are presented. Applications to special means of positive real numbers are given as well.

KW - Convex function

KW - Fejér’s inequality

KW - Harmonically-convex function

KW - Hermite-Hadamard’s inequality

KW - Hölder’s inequality

KW - Power mean inequality

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Fejér type inequalities for harmonically-convex functions with applications

Abstract

Keywords

ASJC Scopus subject areas

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