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

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

Abstract In 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 ne...

Full description

Bibliographic Details
Main Authors: Samaira Naz, Muhammad Nawaz Naeem, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Advances in Difference Equations
Subjects:
Grüss inequality
k-Riemann–Liouville fractional integral
Generalized k-fractional derivative
k-gamma function
Online Access:https://doi.org/10.1186/s13662-020-03187-7

Internet

https://doi.org/10.1186/s13662-020-03187-7

Similar Items