ANZIAM  J.  48 (2007), 553-566

Generalizations of weighted trapezoidal inequality for monotonic functions and applications

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

Abstract

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.

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