## Abstract The object of the present paper is to prove some interesting sufficient conditions for __p__‐valently close‐to‐convex and starlike functions in the unit disk.
On a Class of p- Valently α-Convex Functions
✍ Scribed by Shigeyoski Owa; Fuyao Ren
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 133 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
The object of the present paper is to prove some properties of a class blp(a) of pvalently a-convex functions in the unit disk. Also, an integral representation for functions belong ing to the class Mp(a) is shown.
📜 SIMILAR VOLUMES
## Abstract The purpose of this article is to present an algorithm for globally maximizing the ratio of two convex functions __f__ and __g__ over a convex set __X__. To our knowledge, this is the first algorithm to be proposed for globally solving this problem. The algorithm uses a branch and bound
In this paper we show that the best approximation of a convex function by convex algebraic polynomials in \(L_{p}, 1 \leqslant p<x\), is \(O\left(n^{-2 / p}\right)\). 1993 Academic Press. Inc.