Yudin, V. A. 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 Keywords:trigonometric polynomial; two-sided estimates of \(L_1\)-norm; lacunary sequence; binary block; Lebesgue constant PDFBibTeX XMLCite \textit{V. A. Yudin}, Math. Notes 70, No. 2, 275--282 (2001; Zbl 1047.42001); translation from Mat. Zametki 70, No. 2, 308--315 (2001) Full Text: DOI