Inequalities of the ``large sieve type and applications to problems of trigonometric approximation

DOI10.1007/BF02027298zbMath0654.42004MaRDI QIDQ1108520

K. I. Oskolkov

Publication date: 1986

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

trigonometric polynomialsmaximal functionsuniform modulus of continuityLagrange interpolation polynomialsestimates of errors of approximation

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (7)

On approximation by trigonometric Lagrange interpolating polynomials II ⋮ Approximation of periodic functions by interpolation polynomials in \(L_ 1\) ⋮ Marcinkiewicz-Zygmund-type inequalities, trigonometric interpolation on non-uniform grids and unconditional Schauder bases in Besov spaces on the torus ⋮ Sharp \(L_p\)-error estimates for sampling operators ⋮ Approximation of generalized Poisson integrals by interpolating trigonometric polynomials ⋮ Approximation by interpolation trigonometric polynomials in metrics of the space \(L_p\) on the classes of periodic entire functions ⋮ On functions of bounded \(p\)-variation

Cites Work

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• On the best approximation and polynomials of the least quadratic deviation
• Mean convergence of Lagrange interpolation. II
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
• The analytic principle of the large sieve

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