Approximation of \(k\)-monotone functions

DOI10.1006/JATH.1998.3189zbMath0910.41011OpenAlexW2463765116MaRDI QIDQ1268710

Kirill A. Kopotun

Publication date: 12 April 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3189

zbMATH Keywords

simultaneous approximationdegree of approximation\(k\)-monotone functions

Mathematics Subject Classification ID

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

Related Items (4)

Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\) ⋮ The difficulty of Monte Carlo approximation of multivariate monotone functions ⋮ Whitney theorem of interpolatory type for \(k\)-monotone functions ⋮ On moduli of smoothness ofk-monotone functions and applications

Cites Work

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• Simultaneous approximation by algebraic polynomials
• A criterion for \(n\)-convexity
• Another Proof that Convex Functions are Locally Lipschitz
• A NOTE ON SIMULTANEOUS APPROXIMATION IN Lp[—1,1 (1≤<ρ<∞)]
• Some properties of convex functions of higher orders

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