Analogs of the Jackson-Nikol'skii inequalities for trigonometric polynomials in spaces with nonsymmetric normстатья
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Аннотация:The paper is concerned with the evaluation of [GRAPHICS] where \\.\\(p1,p2) is a nonsymmetric norm. The order of this number is obtained. Lower bounds involve new polynomials whose properties are studied in detail. In the case p1 = p2, q1 = q2, the estimate obtained is reduced to the well-known Jackson-Nikol'skii inequality.