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On new Ostrowski type inequalities

Liu W., Dong J.

Demonstratio Mathematica

2008

Vol. 41, nr 2

317-322

In this short note, some new inequalities of Ostrowski type involving two functions and their derivatives for mapping whose derivations belong to Lp[a,b], p > 1 are established.

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.

New Ostrowski and Gruss type inequalities for double integrals

Pachpatte B.

Demonstratio Mathematica

2006

Vol. 39, nr 4

783-791

In the present paper we establish new Ostrowski and Grüss type inequ- alities for double integrals involving three functions and their partial derivatives. The discrete Ostrowski and Grüss type inequalities for double sums are also given.

Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions

Cerone P., Dragomir S.

Demonstratio Mathematica

2004

Vol. 37, nr 2

299--308

Ostrowski type inequalities for absolutely continuous functions whose derivatives satisfy certain convexity assumptions are pointed out.

New Ostrowski type inequalities for mappings whose derivatives belong to Lp spaces

Pachpatte B.

Demonstratio Mathematica

2004

Vol. 37, nr 2

293--298

The aim of the present paper is to establish two new Ostrowski type inequalities for mappings whose derivatives belongs to Lp -spaces. The analysis used in the proofs is elementary and our results in the special cases yields the Ostrowski type inequality recently established by Dragomir and Wang.