On Grüss inequalities within generalized K-fractional integrals

On Grüss inequalities within generalized K-fractional integrals

Abstract In this paper, we introduce the generalized K $\mathcal{K}$ -fractional integral in the frame of a new parameter K > 0 $\mathcal{K}>0$ . This paper offers some new important inequalities of Grüss type using the generalized K $\mathcal{K}$ -fractional integral and associated integral i...

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Bibliographic Details
Main Authors: Saima Rashid, Fahd Jarad, Muhammad Aslam Noor, Khalida Inayat Noor, Dumitru Baleanu, Jia-Bao Liu
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Advances in Difference Equations
Subjects:
Grüss inequality
Generalized K $\mathcal{K}$ -fractional integral
Integral inequality
Online Access:http://link.springer.com/article/10.1186/s13662-020-02644-7
Description
Summary:Abstract In this paper, we introduce the generalized K $\mathcal{K}$ -fractional integral in the frame of a new parameter K > 0 $\mathcal{K}>0$ . This paper offers some new important inequalities of Grüss type using the generalized K $\mathcal{K}$ -fractional integral and associated integral inequalities. Our results with this new integral operator have the abilities to be implemented for the evaluation of many mathematical problems related to the real world applications.
ISSN:1687-1847

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