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A generalized Ostrowski type inequality for a random variable whose probability density function belongs to L-infinity[a,b].

Rafiq A., Mir N., Zafar F.

Demonstratio Mathematica

2008

Vol. 41, nr 3

723-732

We establish here an inequality of Ostrowski type for a random variable whose probability density function belongs to L-infinity[a, b], in terms of the cumulative distribution function and expectation. The inequality is then applied to generalized beta random variable.

Some inequalities of Aczel type for Gramians in n-inner product spaces

Rafiq A., Mir N., Hussain S.

Demonstratio Mathematica

2007

Vol. 40, nr 3

609-629

Some inequalities of Aczel type for Gramians in n-inner product spaces which generalize pecaric result for n-inner product spaces are given. Applications connected to Schwartz’s inequality for n-inner product spaces are also noted.