Converse theorems for approximation by Bernstein polynomials in \(L_ p[0,1]\) \((1

DOI10.1007/BF01893439zbMath0605.41020MaRDI QIDQ1084273

Kamen G. Ivanov

Publication date: 1986

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

Bernstein polynomialsrate of best polynomial approximation

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27) Saturation in approximation theory (41A40)

Related Items

Direct and inverse theorems for Bernstein polynomials in the space of Riemann integrable functions ⋮ Kantorovich-Bernstein polynomials

Cites Work

• Weak interpolation in Banach spaces
• \(L_p\)-approximation by Kantorovic operators
• On interpolation of L//p[a,b and weighted Sobolev spaces]
• The \(L^p\)-saturation of the Bernstein-Kantorovitch polynomials
• On the degree of approximation by Bernstein polynomials
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