New bounds for moments of continuous random variables

作者：Niezgoda Marek^*

来源：Computers & Mathematics with Applications, 2010, 60(12): 3130-3138.

DOI：10.1016/j.camwa.2010.10.018

• Gruss type inequality
• Ostrowski-Gruss type inequality
• Moments of random variable

In this paper, some Gruss and Ostrowski-Gruss type inequalities are applied to estimate the moments of continuous random variables whose probability density function is in LP-space. Some results of Kumar are generalized [P. Kumar, Inequalities involving moments of a continuous random variable defined over a finite interval, Comput. Math. Appl. 48 (2004) 257-273; P. Kumar, The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables, Comput. Math. Appl. 49 (2005) 1929-1940].

• 出版日期2010-12