BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB
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
Also available as Stanford Univ., Calif. Rept. no. TR-127, under contract Nonr-225(53).