New generalized integral inequalities with applications

• Main Authors: Artion Kashuri, Rozana Liko, Silvestru Sever Dragomir
• Format: Article
• Language: English
• Published: AIMS Press 2019-07-01
• Series: AIMS Mathematics
• Subjects: Hermite-Hadamard inequality; general fractional integrals; Hölder’s inequality; power mean inequality
• Online Access: https://www.aimspress.com/article/10.3934/math.2019.3.984/fulltext.html
• ISSN: 2473-6988

The authors have proved an identity for a generalized integral operator via differentiable function. By applying the established identity, the generalized trapezium type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results have been analyzed.