Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 5, Issue 3


Published
on

December 23, 2020


Pages

290-304


DOI

Article

New Integral Inequalities of Ostrowski Type for Quasi-Convex Functions with Applications

Check for updates


Authors

Alper Ekinci Affiliation:
Bandirma Onyedi Eylul University, Bandirma Vocational High School, Balıkesir, Turkey
, M. Emin Ozdemir Affiliation:
Bursa Uludag University, Education Faculty, Bursa, Turkey
and Erhan Set Affiliation:
Ordu University, Faculty of Arts and Sciences, Department of Mathematics, Ordu, Turkey


Abstract

In this paper some new Ostrowski-type inequalities for functions whose derivatives in absolute values are quasi-convex are established. Some applications to special means of real numbers and applica- tions for P.D.F.’s are given. We also give some applications of our results to get new error bounds for the sum of the midpoint formula.


Keywords

Quasi-convex functions, Ostrowski inequality, midpoint formula, probability density function.


Citation

Ekinci, A., Ozdemir, M. E., & Set, E. (2020). New integral inequalities of ostrowski type for quasi-convex functions with applications. Turkish Journal of Science, 5(3), 290–304. https://doi.org/10.66833/TJOS-2020-0034

Published by: Engineering Journals

Engineering Journals Logo