Some properties of harmonic convex and harmonic quasi-convex
functions

Masood Ahmed Choudhary; ToseefAhmed Malik

doi:https://doi.org/10.14445/22315373/IJMTT-V56P536

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 4 | Year 2018 | Article Id. IJMTT-V56P536 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P536

Some properties of harmonic convex and harmonic quasi-convex functions

Masood Ahmed Choudhary , ToseefAhmed Malik

Abstract

In this paper, we introduce a new class of convex function which is known as harmonically convex function. It is shown that harmonically log-convex function implies that harmonically convex functions which implies that harmonically quasi-convex functions. Results proved in this paper may stimulate further research in this field.

Keywords

Convex functions, harmonically convex functions, harmonically quasi-convex functions, harmonically log-convex functions, harmonically pseudo-convex functions.

References

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Citation :

Masood Ahmed Choudhary , ToseefAhmed Malik, "Some properties of harmonic convex and harmonic quasi-convex functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 4, pp. 252-257, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P536