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;
2007-01-01
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.File in questo prodotto:
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