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Abstract New upper bounds on the pointwise behavior of Christoffel function on convex domains in R d are obtained. These estimates are established by explicitly constructing the corresponding “needle”-like algebraic… Click to show full abstract
Abstract New upper bounds on the pointwise behavior of Christoffel function on convex domains in R d are obtained. These estimates are established by explicitly constructing the corresponding “needle”-like algebraic polynomials having small integral norm on the domain, and are stated in terms of few easy-to-measure geometric characteristics of the location of the point of interest in the domain. Sharpness of the results is shown and examples of applications are given.
Keywords:
function convex;
upper estimates;
christoffel function;
convex domains
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!