Approximation of continuous periodic functions by de la Vallee Poussin sums
Abstract
We obtain an estimate of the deviation of de la Vallee Poussin sums Vn,n/2(f;x) from continuous functions f, expressed in terms of values of theirs modulus of continuity. It is established that this estimate can't be improved by using the well-known analogue of the Lebesgue inequality for de la Vallee Poussin sums
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