Abstract
A sequence of linear trigonometric polynomial operators is constructed with the help of the operators $L_{np - p} $, which are generalizations of Jackson operators, and is shown to have the order of approximation given by Jackson's theorems. With the help of these operators, Jackson’s theorems may be given a direct proof, without resorting to the relation $E_n (f) \leqq CE_n (f')/ n$.
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