On harmonic convex functions of three variables and related Hermite-Hadamard inequalities-Reference-Cited by-同舟云学术

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On harmonic convex functions of three variables and related Hermite-Hadamard inequalities

Published:2023 Issue:2 Volume:37 Page:335-347
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Noor Muhammad¹,Noor Khalida¹,Iftikhar Sabah²,Awan Muhammad³

Affiliation:

1. COMSATS University Islamabad, Islamabad, Pakistan

2. Xiamen University, Malaysia

3. Government College University, Faisalabad, Pakistan

Abstract

The main objective of this paper is to extend the notion of harmonic convex functions for three variables. Some associated Hermite-Hadamard type of integral inequalities are also obtained.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference13 articles.

1. G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen, Generalized convexity and inequalities, J. Math. Anal. Appl. 335 (2007), 1294-1308.

2. M. K. Bakulla, An improvement of the Hermite-Hadamard iequality for functions convex on the coordinates, Austr. J. Math. Anal. Appl. 11(1) (2014), Art. 3, 1-7.

3. F. Chen, A note on the Hermite-hadamard inequality for convex functions on the co-ordinates, J. Math. Inequal. 8(4) (2014), 915-923.

4. S.S. Dragomir, On the Hadamard’s inequality for convex function on the co-ordinates in a rectangle from the plane, Taiwanses J. Math. 5(4) (2001), 775-788.

5. S.S. Dragomir, Inequalities of Hermite-Hadamard type for HA-convex functions, Preprint RGMIA Res. Rep. Coll. 18(2015), Art. 38. [http://rgmia.org/papers/v18/v18a38.pdf].

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