q-Non uniform difference calculus and classical integral inequalities

Abstract We first establish q-non uniform difference versions of the integral inequalities of Hölder, Cauchy–Schwarz, and Minkowski of classical mathematical analysis and then integral inequalities of Grönwall and Bernoulli based on the Lagrange method of linear q-non uniform difference equations of...

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Bibliographic Details
Main Authors: Gaspard Bangerezako, Jean Paul Nuwacu, Enas M Shehata
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-1983-0