Improved Hermite-Hadamard type inequalities by using the p-convexity of differentiable mappings

Sever Silvestru Dragomir; Muhammad Amer Latif; Ebrahim Momoniat

doi:10.2989/16073606.2020.1768170

Improved Hermite-Hadamard type inequalities by using the p-convexity of differentiable mappings

Sever Silvestru Dragomir, Muhammad Amer Latif, Ebrahim Momoniat

Mathematics and Applied Mathematics

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

2 Citations (Scopus)

Abstract

In this paper, a new identity is established for differentiable mappings. By using the mathematical analysis techniques, some new integral inequalities of Hermite-Hadamard type for differentiable p-convex functions are proved. A comparison of the established results with previously obtained results is demonstrated to show that the results presented in this paper are better than those already exist in literature.

Original language	English
Pages (from-to)	1077-1094
Number of pages	18
Journal	Quaestiones Mathematicae
Volume	44
Issue number	8
DOIs	https://doi.org/10.2989/16073606.2020.1768170
Publication status	Published - 2021

Keywords

Convex functions
Hermite-Hadamard inequalities
harmonically convex function
p-convex functions

ASJC Scopus subject areas

Mathematics (miscellaneous)

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abstract = "In this paper, a new identity is established for differentiable mappings. By using the mathematical analysis techniques, some new integral inequalities of Hermite-Hadamard type for differentiable p-convex functions are proved. A comparison of the established results with previously obtained results is demonstrated to show that the results presented in this paper are better than those already exist in literature.",

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AU - Latif, Muhammad Amer

AU - Momoniat, Ebrahim

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KW - Hermite-Hadamard inequalities

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KW - p-convex functions

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Improved Hermite-Hadamard type inequalities by using the p-convexity of differentiable mappings

Abstract

Keywords

ASJC Scopus subject areas

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