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Integral norms of trigonometric polynomials. (English. Russian original) Zbl 1047.42001

Math. Notes 70, No. 2, 275-282 (2001); translation from Mat. Zametki 70, No. 2, 308-315 (2001).
Summary: For trigonometric polynomials with coefficients equal to 1 or 0 in absolute value whose spectra are located on the left-hand side of binary blocks, we establish two-sided estimates of the \(L_1\)-norm.

MSC:

42A05 Trigonometric polynomials, inequalities, extremal problems
42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.)
26D05 Inequalities for trigonometric functions and polynomials
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