A generalized Cantor–Riesz–Nagy function and the growth of its moments

Article type: Research Article

Authors: Goh, William M.Y. | Wimp, Jet

Affiliations: Department of Mathematics and Computer Science, Drexel University, Philadelphia, PA 19104, USA

Note: [] The research was partially supported by the National Science Foundation D.M.S. 9101753.

Note: [] The research was supported by the National Science Foundation under Group Grant #890 1610.

Abstract: In this paper we introduce a singular function which reflects some of the behavior of both the classical Cantor singular function and of the Riesz–Nagy class of singular functions. We determine the asymptotic behavior of the corresponding moment sequence. The behavior of the moments is similar to the behavior of the moments of two singular functions we have considered previously.

DOI: 10.3233/ASY-1994-8404

Journal: Asymptotic Analysis, vol. 8, no. 4, pp. 378-392, 1994