Moduli of smoothness of higher orders related to the Fourier-Jacobi expansion and the approximation of functions by algebraic polynomials

zbMath0881.42021MaRDI QIDQ1363286

Kh. P. Rustamov

Publication date: 20 August 1997

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

modulus of smoothnessFourier-Jacobi expansionbest approximationalgebraic polynomialsPeetre \(K\)-functional

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50) General harmonic expansions, frames (42C15)

Related Items (2)

On approximation of functions by algebraic polynomials in Hölder spaces ⋮ On Ulyanov inequalities in Banach spaces and semigroups of linear operators

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