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Generalized multivariate Fink-type identity and some related results on time scales with applications

Hussain Sabir, Latif Muhammad

Journal of Applied Analysis

2019

Vol. 25, nr 2

189--203

Generalized Fink-type identity for multi-variables to an arbitrary time scales is obtained, giving some multi-variate Ostrowski, Iyengar and Grüss-type inequalities unifying the corresponding continuous and discrete version. Some new applications to generalized polynomials are also obtained.

On Ostrowski type inequalities

Agarwal R. P., Luo M.-J., Raina R. K.

Fasciculi Mathematici

2016

Nr 56

5--27

In this paper, new forms of Ostrowski type inequalities are established for a general class of fractional integral operators. The main results are used to derive Ostrowski type inequalities involving the familiar Riemann-Liouville fractional integral operators and other important integral operators. We further obtain similar types of inequalities for the integral operators whose kernels are the Fox-Wright generalized hypergeometric function. Several consequences and special cases of some of the results including applications to Stolarsky's means are also pointed out.

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 the Ostrowski type integral inequality for double integrals

Sarikaya M. Z.

Demonstratio Mathematica

2012

Vol. 45, nr 3

533-540

In this note, we establish a new inequality of Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

Better bounds for an inequality of the Ostrowski type with applications

Barnett N., Dragomir S., Sofo A.

Demonstratio Mathematica

2001

Vol. 34, nr 3

533-542

In this paper we improwe a recent result by Matic, Pecaric und Ujevic [6] and apply if for special means and cumulative probability functions.