Opial inequality in q-calculus

Abstract In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new integral inequality of the q-Opial type.

Bibliographic Details
Main Authors: Tatjana Z. Mirković, Slobodan B. Tričković, Miomir S. Stanković
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1928-z