A generalization of a result of G. Pólya and its application to a continuous extension of the de la Vallée Poussin means

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• 作者：Alfred S. Cavaretta ; Terence Hanchin
• 关键词：Zero counting ; Variation diminishing ; Convolution
• 刊名：Journal of Approximation Theory
• 出版年：2009
• 出版时间：June 2009
• 年：2009
• 卷：158
• 期：2
• 页码：184-193
• 全文大小：396 K

文摘

Variation diminishing properties are established for the periodic kernels . On the real axis, there are related variation diminishing properties of the functions u^msgnu, which are the Green’s functions for the differential operator D^(m+1).