Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2156

 Title: Best Approximation and Moduli of Smoothness Authors: Dimova Zapryanova, Teodora Keywords: Moduli of smoothnessBest algebraic approximationK-functional, Linear operator Issue Date: 2012 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 299p-306p Abstract: The aim of this note is to present moduli of smoothness which are introduced by different schools of approximation for characterization of the best algebraic approximation. We observe that Potapov’s generalized moduli are equivalent to the error in approximation by the algebraic version of the trigonometric Jackson integrals in uniform norm and in weighted integral metric. Description: 2010 Mathematics Subject Classification: 41A25, 41A10. URI: http://hdl.handle.net/10525/2156 ISSN: 0204-9805 Appears in Collections: 2012 Volume 21

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