文章基本信息
- 标题：Convex functions and the rolling circle criterion
- 本地全文：下载
- 作者：V. Srinivas ; O. P. Juneja ; G. P. Kapoor 等
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1995
- 卷号：18
- 期号：4
- 页码：799-811
- DOI：10.1155/S0161171295001025
- 出版社：Hindawi Publishing Corporation
- 摘要：
Given 0 ≤ R 1 ≤ R 2 ≤ ∞ , CVG ( R 1 , R 2 ) denotes the class of normalized convex functions f in the unit disc U , for which ∂ f ( U ) satisfies a Blaschke Rolling Circles Criterion with radii R 1 and R 2 . Necessary and sufficient conditions for R 1 = R 2 , growth and distortion theorems for CVG ( R 1 , R 2 ) and rotation theorem for the class of convex functions of bounded type, are found.
