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Generalizations of a weighted trapezoidal inequality for monotonic functions and applications

Published online by Cambridge University Press:  17 February 2009

Kuei-Lin Tseng ,
Gou-Sheng Yang  and
Sever S. Dragomir
Kuei-Lin Tseng
Affiliation:
Department of Mathematics, Aletheia University, Tamsui 25103, Taiwan; e-mail: kltseng@email.au.edu.tw.
Gou-Sheng Yang
Affiliation:
Department of Mathematics, Tamkang University, Tamsui 25137, Taiwan.
Sever S. Dragomir
Affiliation:
School of Computer Science and Mathematics, Victoria University, PO Box 14428, MCMC 8001, Victoria, Australia; e-mail: sever.dragomir@vu.edu.au.
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Abstract

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In this paper we establish some generalizations of a weighted trapezoidal inequality for monotonic functions and give several applications for the r-moments, the expectation of a continuous random variable and the Beta and Gamma functions.

Keywords

trapezoidal inequalitymonotonic functionsr-momentsexpectation of a continuous random variablethe Beta and Gamma functions
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 4 , April 2007 , pp. 553 - 566
Copyright
Copyright © Australian Mathematical Society 2007

References

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