Whitney theorem of interpolatory type for \(k\)-monotone functions

DOI10.1007/S003650010031zbMath0989.41004OpenAlexW2073278459MaRDI QIDQ5937043

Kirill A. Kopotun

Publication date: 22 July 2002

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

Full work available at URL: https://doi.org/10.1007/s003650010031

zbMATH Keywords

interpolationerror estimatesimultaneous approximation\(k\)-monotone functionLagrange polynomialWhitney-type theorem

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (2)

Weighted moduli of smoothness of \(k\)-monotone functions and applications ⋮ On moduli of smoothness ofk-monotone functions and applications

Cites Work

• Convex functions, partial orderings, and statistical applications
• Approximation of \(k\)-monotone functions
• A criterion for \(n\)-convexity
• On Bounded Functions with Bounded nth Differences
• Cesaro-Perron Almost Periodic Functions
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