Construction of a dyadic interpolations basis in the space of continuous functions using Fejér kernels

zbMath0699.46006MaRDI QIDQ913192

S. V. Bochkarev

Publication date: 1985

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

space of continuous functionsFejér kernels form a dyadic interpolation basis in \(C[0,2\pi\)]

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric interpolation (42A15) Interpolation in approximation theory (41A05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Approximation by polynomials (41A10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (7)

Sergei Viktorovich Bochkarev (obituary) ⋮ Perturbation of the trigonometric system in \(L_1(0,\pi)\) ⋮ Growth of the degrees of polynomial bases and approximation of trigonometric projectors ⋮ Linear discrete operators on the disk algebra ⋮ Orthonormal polynomial bases in function spaces ⋮ Growth of degrees of polynomial bases ⋮ Cardano's formula, square roots, Chebyshev polynomials and radicals

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