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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.

Certain sufficienty conditions on Fox-Wright function

Chaurasia V., Parihar H.

Demonstratio Mathematica

2008

Vol. 41, nr 4

813-822

The main object of this paper is to find certain conditions for the function [...] to be a member of certain subclasses of analytic functions. Our results provides generalization of some recent results due to Swaminathan [19] and Chaurasia and Srivastava [20].