Relative strongly harmonic convex functions and their characterizations

Volume 11, Issue 9, pp 1070--1076 http://dx.doi.org/10.22436/jnsa.011.09.05

Publication Date: June 19, 2018 Submission Date: March 24, 2017 Revision Date: July 02, 2017 Accteptance Date: July 12, 2017

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Authors

Bandar Bin-Mohsin - Department of Mathematics, King Saud University, Riyadh, Saudi Arabia. Muhammad Aslam Noor - Department of Mathematics, King Saud University, Riyadh, Saudi Arabia. - Department of Mathematics, COMSATS Institute of Information Technology, Park Road,, Islamabad, Pakistan. Khalida Inayat Noor - Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan. Sabah Iftikhar - Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.

Abstract

In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary non-negative function, which is called the strongly general harmonic convex function. We discuss some characterizations of strongly general harmonic convex functions. Relationship with other classes of convex functions are also discussed. Some special cases are discussed as applications of the main results. The ideas and techniques of this paper may be starting point for further research.

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Keywords

• Harmonic convex function
• strongly harmonic convex function
• strongly general convex functions

MSC

•  26D15
•  26A51
•  90C23

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