Title | THE TRIGONOMETRIC ANALOGUE OF THE TAYLOR’S FORMULA AND ITS APPLICATION |
Publication Type | Journal Article |
Year of Publication | 2004 |
Authors | Draganov B |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 96 |
Keywords | convolutional 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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