Approximation of functions from L p (ω) β by matrix means of their Fourier series

Radosława Kranz (), Włodzimierz Łenski () and Bogdan Szal ()
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Radosława Kranz: University of Zielona Góra
Włodzimierz Łenski: University of Zielona Góra
Bogdan Szal: University of Zielona Góra

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 5, 475-494

Abstract: Abstract We formulate some special conditions for the integrable functions and moduli of continuity. We give the results on rate of approximation of such functions by matrix means of their Fourier series, where the entries of the rows of the matrix generate the sequences belonging to the classes MRBVS and MHBVS, We also present some results on norm approximation for functions from the generalized integral Lipschitz classes.

Keywords: Rate of approximation; summability of Fourier series; Lipschitz classes (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0029-9

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