Bernstejn-Nikol'skij inequalities and estimates of the norms of Dirichlet kernels for trigonometric polynomials with respect to arbitrary harmonics

DOI10.1007/BF01170885zbMath0718.42001MaRDI QIDQ2639285

V. E. Majorov

Publication date: 1990

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

trigonometric polynomialsDirichlet kernelexponential polynomialsBernstein-Nikol'skij constantLebesgue-Littlewood constantWeil derivative

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (3)

Order estimates of the \(L_q\)-norms of generalized derivatives of the Dirichlet-type kernels with an arbitrary choice of harmonics ⋮ Bernstein-Nikol'skii-type inequalities for trigonometric polynomials with an arbitrary choice of harmonics ⋮ Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials

Cites Work

• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
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