Fractional calculus and some properties of k-uniform convex functions with negative coefficients

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Abstract

In this paper, we introduce a class of functions (k, A, B, α) - UCV which is convex in the unit disk. We give some results for the class (k, A, B, α) - UCV, integral operators and radius of k-uniform convexity. Further, the proofs of distortion theorems for fractional calculus for functions (k, A, B, α) - UCV is given.

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Özlem Güney, H., Eker, S. S., & Owa, S. (2006). Fractional calculus and some properties of k-uniform convex functions with negative coefficients. Taiwanese Journal of Mathematics, 10(6), 1671–1683. https://doi.org/10.11650/twjm/1500404582

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