Global Smoothness Of Approximating Functions

Authors

George A. Anastassiou, University of MemphisFollow
Claudia Cottin, Universität Duisburg-Essen
Heinz H. Gonska, EBS Universität für Wirtschaft und Recht

Abstract

We investigate the conditions under which global smoothness of a function f (as measured by its modulus of continuity) is retained by the elements of approximating sequences (Lnf). As one consequence we obtain statements concerning the invariance of Lipschitz classes under operators of several types. A crucial tool in our approach is the least concave majorant of a modulus of continuity. AMS 1980 Subject Classification (1985 Revision): 41A17, 26A15, 26A1. © 1991, IEEE. All rights reserved.

Publication Title

Analysis

Recommended Citation

Anastassiou, G., Cottin, C., & Gonska, H. (1991). Global Smoothness Of Approximating Functions. Analysis, 11 (1), 43-58. https://doi.org/10.1524/anly.1991.11.1.43