Simultaneous approximation by algebraic polynomials

DOI10.1007/BF02432855zbMath0876.41006MaRDI QIDQ1915990

Kirill A. Kopotun

Publication date: 12 September 1996

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

zbMATH Keywords

modulus of smoothnesssimultaneous polynomial approximation

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Simultaneous approximation (41A28)

Related Items (11)

Polynomial approximation with doubling weights ⋮ Exact order of pointwise estimates for polynomial approximation with Hermite interpolation ⋮ On the absence of stability of bases in some Fréchet spaces ⋮ Interpolatory estimates for convex piecewise polynomial approximation ⋮ Interpolatory pointwise estimates for monotone polynomial approximation ⋮ On an approximation family of discrete polynomial operators ⋮ Interpolatory pointwise estimates for convex polynomial approximation ⋮ Approximation of functions by polynomials with various constraints ⋮ One estimate for divided differences and its applications ⋮ Approximation of \(k\)-monotone functions ⋮ A remark about polynomial approximations involving the interpolation of continuous functions

Cites Work

• Pointwise approximation by algebraic polynomials
• Punktweise Abschätzungen zur Approximation durch algebraische Polynome. (Pointwise estimates for approximation by algebraic polynomials)
• On simultaneous approximation by optimal algebraic polynomials
• Derivatives of the algebraic polynomials of best approximation
• The behavior of the derivatives of the algebraic polynomials of best approximation
• Pointwise and uniform estimates for convex approximation of functions by algebraic polynomials
• Approximation of Functions by Polynomials in C[-L, 1]
• APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS
• Simultaneous Polynomial Approximation
• An Elementary Simultaneous Approximation Theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Simultaneous approximation by algebraic polynomials