Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities

Year 2019, Volume: 4 Issue: 1, 30 - 38, 16.05.2019

Fatma Buğlem Yalçın , Nurgül Okur

Abstract

In
this study, we studied on the harmonically convexity of functions. Firstly, we
obtained some new generalized Hadamard’s type and Ostrowski’s type inequalities
for these functions on the real number line.
Besides, we generalized the above mentioned inequalities using two-dimensional
operator for harmonically convex functions.

Keywords

harmonically convex function, Hermite-Hadamard type inequalities, Ostrowski’s type inequalities

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