CYCLIC VARIATION-DIMINISHING TRANSFORMS

[摘要] We give a new and more manageable characterization for Cyclic Polya Frequency functions of order 3 (CPF3). Our result also improves present knowledge concerning smoothness properties in CPF. In particular, a conjecture of Mairhuber, Schoenberg, and Williamson, On variation-diminishing transformations on the circle, Rend. Circ. Mat. Palermo (2)8 (1959), 1-30, about discontinuous CPF functions is established. (C) 1994 Academic Press, Inc.

[发布日期] 1994-10-01