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On a property of moduli of smoothness and K-functionals

Abstract


A new property of moduli of smoothness associated to functions belonging to some certain spaces is revealed. In terms of statistical convergence, we determine the behavior of these special functions at the point |(\delta=0\). In this respect, Peetre’s K-functional is also investigated.

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Moduli of smoothness, K-functional, statistical convergence

Paper coordinates

O. Agratini, On a property of moduli of smoothness and K-functionals, Filomat, 29 (2015) no. 7, pp. 1425-1428. https://doi.org/10.2298/FIL1507425A

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2015

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