We consider polynomial approximation problems on the real line with generalized Freud weights. The generalization means multiplying these weights by so-called generalized polynomials which have finitely many roots on the corresponding intervals. Analogues of classical polynomial inequalities, as well as direct and converse approximation theorems, will be proved.

Direct and converse polynomial approximation theorems on the real line with weights having zeros

MASTROIANNI, Giuseppe Maria;
2007

Abstract

We consider polynomial approximation problems on the real line with generalized Freud weights. The generalization means multiplying these weights by so-called generalized polynomials which have finitely many roots on the corresponding intervals. Analogues of classical polynomial inequalities, as well as direct and converse approximation theorems, will be proved.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/7860
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