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On the convergence (upper boundness) of trigonometric series

Xhevat Z. Krasniqi orcid id orcid.org/0000-0002-5032-4623 ; Department of Mathematics and Computer Sciences, University of Prishtina,Prishtinë-10 000, Republic of Kosovo


Puni tekst: engleski pdf 177 Kb

str. 245-254

preuzimanja: 689

citiraj


Sažetak

In this paper we prove that the condition k=[n2]2nkrλk|nk|+1=o(1)(=O(1)), for r=0,1,2,, is necessary for the convergence of the rth derivative of the Fourier series in the L1metric. This condition is sufficient under some additional assumptions for Fourier coefficients. In fact, in this paper we generalize some results of A. S. Belov [1].

Ključne riječi

Fourier coefficients; convergence of Fourier series

Hrčak ID:

44004

URI

https://hrcak.srce.hr/44004

Datum izdavanja:

9.12.2009.

Posjeta: 1.583 *

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