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More on Ostrowski type inequalities for some s-convex functions in the second sense

Liu Z.

Demonstratio Mathematica

2016

Vol. 49, nr 4

398--412

Some Ostrowski type inequalities for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense are established. Two mistakes in a recently published paper are pointed out and corrected.

Some Ostrowski’s type inequalities for functions whose second derivatives are s-convex in the second sense

Set E., Sarikaya M. Z., Ozdemir M. E.

Demonstratio Mathematica

2014

Vol. 47, nr 1

37--47

Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are given.

A Companion of the generalized trapezoid inequality and applications

Alomari M. W.

Journal of Mathematics and Applications

2013

Vol. 36

5--15

A sharp companion of the generalized trapezoid inequality is introduced. Applications to quadrature formula are pointed out.

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 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.