SOME NEW TYPE INTEGRAL INEQUALITIES FOR APPROXIMATELY HARMONIC h-CONVEX FUNCTIONS

Authors

DOI:

https://doi.org/10.37560/matbil2010013m

Keywords:

Hermite-Hadamard inequalities, Simpson inequality, midpoint inequality, Hölder inequality, power mean inequality, harmonically preinvex

Abstract

In this paper, we present a new definition of preinvex functions depending on the given function which is called as approximately harmonic \(h\)-preinvex functions. We establish some inequalities of Hermite-Hadamard, Simpson and midpoint type for newly define class of functions. We show that this class contains several other new and known extensions of harmonic preinvexity. Special cases which can be deduced from the main results are also discussed in detail.

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Published

2020-03-30

Issue

Vol. 44 No. 1 (2020): 44 (LXX) 1 (2020)

Section

Articles

License

Copyright (c) 2020 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
B. Meftah and A. Kashuri, “SOME NEW TYPE INTEGRAL INEQUALITIES FOR APPROXIMATELY HARMONIC h-CONVEX FUNCTIONS”, Mat. Bilt., vol. 44, no. 1, pp. 13–36, Mar. 2020, doi: 10.37560/matbil2010013m.