Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 4, Issue 1


Published
on

April 25, 2019


Pages

30-38


DOI

Article

Two-Dimensional Operator Harmonically Convex Functions and Related Generalized Inequalities

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Authors

Nurgül OKUR Affiliation:
Giresun University, Faculty of Science and Arts, Department of Statistics, Giresun-TURKEY
and Fatma Buğlem YALÇIN Affiliation:
Giresun University, Faculty of Science and Arts, Department of Statistics, Giresun-TURKEY


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.


Citation

Okur, N. & Buğlem YALÇIN, F. (2019). Two-dimensional operator harmonically convex functions and related generalized inequalities. Turkish Journal of Science, 4(1), 30–38. https://doi.org/10.66833/TJOS-2019-0004

Published by: Engineering Journals

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