A Grüss type inequality for two weighted functions

Volume 18, Issue 1, pp 87--93 http://dx.doi.org/10.22436/jmcs.018.01.09

Publication Date: January 04, 2018 Submission Date: April 02, 2017

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Authors

Junesang Choi - Department of Mathematics, Dongguk University, Gyeongju 38066, Republic of Korea

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.

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ISRP Style

Junesang Choi, A Grüss type inequality for two weighted functions, Journal of Mathematics and Computer Science, 18 (2018), no. 1, 87--93

AMA Style

Choi Junesang, A Grüss type inequality for two weighted functions. J Math Comput SCI-JM. (2018); 18(1):87--93

Chicago/Turabian Style

Choi, Junesang. "A Grüss type inequality for two weighted functions." Journal of Mathematics and Computer Science, 18, no. 1 (2018): 87--93

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

MSC

26D10
26D15
26A33
05A30

References

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