Boundedness by 3 of the Whitney interpolation constant.
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Publication:1867524
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
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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