A Grüss type inequality for two weighted functions

Abstract

Since Grüss in 1935 presented the so-called Grüss type inequality, a variety of its variants and generalizations have been investigated. Among those things, Dragomir in 2000 established a Grüss type inequality for a functional with a weighted function. In this sequel, we aim to present a Grüss type inequality for a functional with two weighted functions. We also apply our main result to give some other inequalities.Keywords: Grüss type inequality and its generalization, Chebyshev inequality, Grüss type inequality with a weighted function, Grüss type inequality with two weighted functions, synchronous functions.