Triple Diamond-Alpha integral and Hölder-type inequalities

Abstract In this paper, we first introduce the definition of triple Diamond-Alpha integral for functions of three variables. Therefore, we present the Hölder and reverse Hölder inequalities for the triple Diamond-Alpha integral on time scales, and then we obtain some new generalizations of the Hölde...

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Bibliographic Details
Main Author: Jing-Feng Tian
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1704-0