Open AccessOn the degree of approximation of functions belonging to the weighted $ (L^p, \xi (t)) $ class by Hausdorff means
Author(s) -
Β. E. Rhoades
Publication year - 2001
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.32.2001.345
Subject(s) - mathematics , degree (music) , generalization , class (philosophy) , hausdorff space , urysohn and completely hausdorff spaces , function (biology) , derivative (finance) , hausdorff distance , hausdorff measure , pure mathematics , combinatorics , discrete mathematics , hausdorff dimension , mathematical analysis , physics , artificial intelligence , evolutionary biology , computer science , acoustics , financial economics , economics , biology
In this paper we obtain a theorem on the degree of approximation of functions belonging to a certain weighted class, using any Hausdorff method with mass function possessing a derivative. This result is a substantial generalization of the theorem of Lal [2]