Accession Number:

AD0701156

Title:

CONVEXITY PRESERVING SCALE TRANSFORMATIONS,

Personal Author(s):

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Report Date:

1969-12-01

Abstract:

Let C be the class of increasing convex functions on the interval from zero to but less than infinity with f0 0. Then f epsilon C implies that the composition psifpsi superscript-1 epsilon C if and only if psix cx to the power p, c 0, p or 1. Functions psi for which psifpsi superscript-1 epsilon C whenever f epsilon C are characterized for various other classes C, e.g., the concave, starshaped or superadditive increasing functions f on the interval from zero to but less than infinity with f0 0. In addition, classes of functions on other domains, and logarithmically convex or concave functions are also considered. Author

Supplementary Note:

Also available as Stanford Univ., Calif. Rept. no. TR-127, under contract Nonr-225(53).

Pages:

0018

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File Size:

0.00MB

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