Two extremal problems for trigonometric polynomials with a prescribed number of harmonics

DOI10.1007/BF01137055zbMath0784.42001OpenAlexW2119076019MaRDI QIDQ1174019

S. Singh

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01137055

zbMATH Keywords

trigonometric polynomialsextremal problemsharmonicsWeyl derivative

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items

Order estimates of the \(L_q\)-norms of generalized derivatives of the Dirichlet-type kernels with an arbitrary choice of harmonics, Remez-type and Nikol'skii-type inequalities: general relations and the hyperbolic cross polynomials, Some extremal problems for trigonometric polynomials.

Cites Work

• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• Approximation spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item