Alpha Convex Functions Associated with Conic Domains

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Khalida Inayat Noor, Nasir Khan, Krzysztof Piejko, Alpha Convex Functions Associated with Conic Domains, Int. J. Anal. Appl., 11 (2) (2016), 70-80.

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Khalida Inayat Noor, Nasir Khan, Krzysztof Piejko

Abstract

In this paper we define a new class k -Umα [A,B] of Janowski type k-uniformly alpha convex functions. We use the method of differential subordinations theory to obtain some new results like sufficient condition, inclusion relations, coefficient estimate and covering properties. The results presented here include a number of well-known results as their special cases.

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References

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