Equivalence of a <IMG ALIGN=BOTTOM HEIGHT=14 WIDTH=17>-functional with the approximation behavior of some linear means for abstract Fourier series期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Equivalence of a -functional with the approximation behavior of some linear means for abstract Fourier series

Authors:	Walter Trebels

Institution:	Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, D--64289 Darmstadt, Germany

Abstract:	Within the setting of abstract Cesàro-bounded Fourier series a -functional is introduced and characterized by the convergence behavior of some linear means. Applications are given within the framework of Jacobi, Laguerre and Hermite expansions. In particular, Ditzian's (1996) equivalence result in the setting of Legendre expansions is covered.

Keywords:	$K$-functional linear approximation processes saturation orthogonal expansions

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