Directional K- Functionals Claudia Cottin

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1993 English Publisher:Springer Science and Business Media LLCJournal:Results in Mathematics, volume 24, pages 211-221 (issn: 1422-6383, eissn: 1420-9012,

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Authors: Claudia Cottin;

doi: 10.1007/bf03322331

Directional K- Functionals Claudia Cottin

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Abstract

When considering approximation of continuous periodic functions f: Rd → R by blending-type approximants which depend on directions ξ1,…,ξν ∈ Rd directional moduli of smoothness (1) are appropriate measures of smoothness of /. In this paper, we introduce equivalent directional K- functionals. As an application, we obtain a result on the degree of approximation by certain trigonometric blending functions.

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University of Duisburg-Essen
Germany

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