## Taiwanese Journal of Mathematics

### FRACTIONAL CALCULUS AND SOME PROPERTIES OF $k$-UNIFORM CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS

#### Abstract

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

#### Article information

Source
Taiwanese J. Math., Volume 10, Number 6 (2006), 1671-1683.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500404582

Digital Object Identifier
doi:10.11650/twjm/1500404582

Mathematical Reviews number (MathSciNet)
MR2275153

Zentralblatt MATH identifier
1199.30069

#### Citation

Güney, H. Özlem; Eker, S. Sümer; Owa, Shigeyoshi. FRACTIONAL CALCULUS AND SOME PROPERTIES OF $k$-UNIFORM CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS. Taiwanese J. Math. 10 (2006), no. 6, 1671--1683. doi:10.11650/twjm/1500404582. https://projecteuclid.org/euclid.twjm/1500404582

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