Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative

Author:

Naz SamairaORCID,Naeem Muhammad Nawaz,Chu Yu-Ming

Abstract

AbstractIn this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions. For these functions, we develop some new fractional integral inequalities. Our results with this new derivative operator are capable of evaluating several mathematical problems relevant to practical applications.

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference20 articles.

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