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SOME RESULTS ON COMPARING TWO INTEGRAL MEANS FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS

Part of: Inequalities

Published online by Cambridge University Press:  10 April 2014

DAH-YAN HWANG  and
SILVESTRU SEVER DRAGOMIR
DAH-YAN HWANG*
Affiliation:
Department of Information and Management, Taipei Chengshih University of Science and Technology, No. 2, Xueyuan Rd., Beitou, 112 Taipei, Taiwan email dyhuang@tpcu.edu.tw
SILVESTRU SEVER DRAGOMIR
Affiliation:
Mathematics, School of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia email sever.dragomir@vu.edu.au School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa
*
✉dyhuang@tpcu.edu.tw
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Abstract

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Some better estimates for the difference between the integral mean of a function and its mean over a subinterval are established. Various applications for special means and probability density functions are also given.

Keywords

Grüss inequalityOstrowski’s inequalityintegral meansspecial meanprobability density function

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals 26D10: Inequalities involving derivatives and differential and integral operators
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 2 , October 2014 , pp. 264 - 274
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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