THE TRIGONOMETRIC ANALOGUE OF THE TAYLOR’S FORMULA AND ITS APPLICATION

TitleTHE TRIGONOMETRIC ANALOGUE OF THE TAYLOR’S FORMULA AND ITS APPLICATION
Publication TypeJournal Article
Year of Publication2004
AuthorsDraganov B
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume96
Keywordsconvolutional operators, Taylor's formula, trigonometric interpolation
Abstract

A new approach to establishing generalized Taylor's expansions is used to prove the trigonometric analogue of the Taylor's formula. We derive point-wise estimates of the error in the trigonometric interpolation and approximation by convolutional linear operators.

2000 MSC

42A15, 42A85

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