Asymptotic Expansions of the Representation Formulae for (C0) m-Parameter Operator Semigroups

Authors

Mi Zhou, University of Memphis
George A. Anastassiou, University of MemphisFollow

Abstract

In this paper, we expand asymptotically the general representation formulae for (C0) m-parameter operator semigroups. When we consider special semigroups, our results yield the asymptotic expansions for multivariate Feller operators. In particular, the asymptotic expansions for univariate and multivariate Bernstein operators are reobtained. See the related examples at the end. © 1995, Taylor & Francis Group, LLC. All rights reserved.

Publication Title

Numerical Functional Analysis and Optimization

Recommended Citation

Zhou, M., & Anastassiou, G. (1995). Asymptotic Expansions of the Representation Formulae for (C0) m-Parameter Operator Semigroups. Numerical Functional Analysis and Optimization, 16 (9-10), 1273-1291. https://doi.org/10.1080/01630569508816673