Approximation of periodic functions by interpolation polynomials in \(L_ 1\)

DOI10.1007/BF01058914zbMath0718.42006OpenAlexW1972823779MaRDI QIDQ2639288

V. P. Motornyi

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01058914

zbMATH Keywords

trigonometric interpolationbounded variationLagrange-interpolation\(L^ 1\)-error estimate

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (2)

On approximation by trigonometric Lagrange interpolating polynomials II ⋮ Approximation by interpolation trigonometric polynomials in metrics of the space \(L_p\) on the classes of periodic entire functions

Cites Work

• Inequalities of the ``large sieve type and applications to problems of trigonometric approximation
• On multipliers preserving convergence of trigonometric series almost everywhere
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