Universal Journal of Mathematics and Mathematical Sciences
Volume 6, Issue 1, Pages 37 - 52
(July 2014)
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CERTAIN CLASSES OF UNIFORMLY CONVEX FUNCTIONS DEFINED BY CERTAIN LINEAR OPERATORS
Ahmed S. Galiz
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Abstract:
In this paper, we define a new subclass of uniformly convex functions with negative coefficients defined by certain linear operators and obtain coefficient estimates, extreme points, closure, inclusion theorems and the radii of starlikeness and convexity for the new subclass. Furthermore, results on convolution products are also discussed. |
| Keywords and phrases: univalent, starlike, convex, uniformly convex, Hadamard product, partial sums. |
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