Estimation type results related to Fejér inequality with applications

Springer Science and Business Media LLC - Tập 2018 - Trang 1-14 - 2018
M. Rostamian Delavar1, S. S. Dragomir2, M. De La Sen3
1Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
2Mathematics, College of Engineering & Science, Victoria University, Melbourne City, Australia
3Institute of Research and Development of Processes, University of Basque Country, Bilbao, Spain

Tóm tắt

This paper deals with some new theorems and inequalities about a Fejér type integral inequality which estimate the difference between the right and middle part in Fejér inequality with new bounds. Also some applications to higher moments of random variables, an error estimate for trapezoidal formula, and some inequalities in connection with special means are given.

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