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Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series
Author(s) -
Bardaro Carlo,
Faina Loris,
Mantellini Ilaria
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500225
Subject(s) - mathematics , series (stratigraphy) , type (biology) , sampling (signal processing) , statistics , computer science , paleontology , ecology , biology , filter (signal processing) , computer vision
We give for generalized Durrmeyer type series and their linear combinations quantitative Voronosvskaja formulae in terms of the classical Peetre K‐functional. Finally we apply the general theory to various kernels