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The trigonometric analogue of the Taylor's formula and its application

Author: Borislav Draganov

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.

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Keywords: Taylor's formula, trigonometric interpolation, convolutional operators

2000 MSC: 42A15, 42A85