The Ostrowski Type Moment Integral Inequalities and Moment-Bounds for Continuous Random Variables
نویسنده
چکیده
We establish Ostrowski type integral inequalities involving moments of a continuous random variable defined on a finite interval. We also derive bounds for moments from these inequalities. Further, we discuss applications of these bounds to the Euler’s beta mappings and illustrate their behaviour. c © 2005 Elsevier Science Ltd. All rights reserved. Keywords—Ostrowski’s inequality, Grüss inequality, Hölder’s inequality, Moments, Beta mappings.
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