Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2572

 Title: Equivalence Between K-functionals Based on Continuous Linear Transforms Authors: Draganov, BorislavIvanov, Kamen Keywords: K-FunctionalModulus of SmoothnessRate of ConvergenceBest ApproximationLinear Operator Issue Date: 2007 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 33, No 4, (2007), 475p-494p Abstract: The paper presents a method of relating two K-functionals by means of a continuous linear transform of the function. In particular, a characterization of various weighted K-functionals by unweighted fixed-step moduli of smoothness is derived. This is applied in estimating the rate of convergence of several approximation processes. Description: 2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10. URI: http://hdl.handle.net/10525/2572 ISSN: 1310-6600 Appears in Collections: Volume 33, Number 4

Files in This Item:

File Description SizeFormat