Convex functions and the rolling circle criterion

V. Srinivas, O. P. Juneja and G. P. Kapoor

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-13

Abstract:

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.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:652625

DOI: 10.1155/S0161171295001025

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