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1
Content available remote On Ostrowski type inequalities
Agarwal R. P., Luo M.-J., Raina R. K.
Fasciculi Mathematici
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2016
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Nr 56
5--27
EN
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.
2
Content available remote On a certain class of analytic functions involving hypergeometric functions
Khosravianarab Sh., Kulkarni S. R., Raina R. K.
Journal of Mathematics and Applications
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2010
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Vol. 32
53-61
EN
A certain class of functions analytic in the open unit disk and defined in terms of hypergeometric functions is introduced and investigated. We establish starlikeness, convexity and spirallikeness properties for this class of functions. Special cases and some useful consequences of our main results are aslo mentioned.
3
Content available remote New sufficient conditions for starlikeness of analytic functions involving a fractional differintegral operator
Prajapat J. K., Raina R. K.
Demonstratio Mathematica
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2010
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Vol. 43, nr 4
805-813
EN
In this paper we apply a fractional differintegral operator to a class of analytic functions and derive certain new sufficient conditions for the starlikeness of this class of functions. The usefulness of the main results are depicted by deducing several interesting corollaries and relevances with some of the earlier results are also pointed out.
4
Content available remote Families of analytic functions associated with the Wright generalized hypergeometric functions
Dziok J., Raina R. K.
Demonstratio Mathematica
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2004
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Vol. 37, nr 3
533--542
EN
By introducing a new class of analytic functions with negative coefficients which involves the Wright's generalized hypergeometric function, we investigate the coefficient bounds, distortion theorems, extreme points and radii of convexity and starlikeness for this class of functions.
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