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  • 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
  • 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
  • DOI:10.1155/S0161171295001025
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Given 0≤R1≤R2≤∞, CVG(R1,R2) 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 R1 and R2. Necessary and sufficient conditions for R1=R2, growth and distortion theorems for CVG(R1,R2) and rotation theorem for the class of convex functions of bounded type, are found.
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