The norm of the Laplace operator restriction to a homogeneous polynomial space
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Publication:1015410
DOI10.1007/s00365-008-9035-xzbMath1162.26309OpenAlexW2053428960MaRDI QIDQ1015410
Publication date: 8 May 2009
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00365-008-9035-x
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities for trigonometric functions and polynomials (26D05)
Cites Work
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- A Bernstein-Markov theorem for normed spaces
- Leading coefficients and extreme points of homogeneous polynomials
- Multivariate polynomial approximation
- Approximation von Funktionen und ihre numerische Behandlung
- On multivariate polynomials with largest gradients on convex bodies
- Extrema of multivariate polynomials, their gradients and directional derivatives
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