Boundedness by 3 of the Whitney interpolation constant.

DOI10.1006/jath.2002.3732zbMath1099.41500OpenAlexW2083250755MaRDI QIDQ1867524

Yu. V. Kryakin, Jacek Gilewicz, I. A. Shevchuk

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1006/jath.2002.3732

zbMATH Keywords

interpolationWhitney constantmodulus of smoothness.

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Related Items (7)

Estimates for functionals with a known finite set of moments in terms of high order moduli of continuity in spaces of functions defined on a segment ⋮ On directional Whitney inequality ⋮ On constants in the Jackson-Stechkin theorem in the case of approximation by algebraic polynomials ⋮ Stechkin-type estimate for nearly copositive approximations of periodic functions ⋮ On the norms of Boman-Shapiro difference operators ⋮ On constants in coconvex approximation of periodic functions ⋮ Interpolated estimate for copositive approximations by algebraic polynomials

Cites Work

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• On functions with bounded \(n\)-th differences
• On the theorem and constants of H. Whitney
• Interpolation Whitney constants
• ON WHITNEY'S THEOREM AND CONSTANTS
• Whitney Interpolation Constants Bounded by 2 for k = 5, 6, 7
• Cesaro-Perron Almost Periodic Functions

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