On the degree of approximation of functions belonging to the weighted $ (L^p, \xi (t)) $ class by Hausdorff means | Zendy

Β. E. Rhoades | Zendy

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On 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]

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