On the Mixed Modulus of Smoothness and a Class of Double Fourier Series
| Data(s) |
21/07/2016
21/07/2016
2013
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|---|---|
| Resumo |
MSC 2010: 42A32; 42A20 In this paper we have defined a new class of double numerical sequences. If the coefficients of a double cosine or sine trigonometric series belong to the such classes, then it is verified that they are Fourier series or equivalently their sums are integrable functions. In addition, we obtain an estimate for the mixed modulus of smoothness of a double sine Fourier series whose coefficients belong to the new class of sequences mention above. |
| Identificador |
Mathematica Balkanica New Series, Vol. 27, Fasc 1-2 (2013), 53p-64p 0205-3217 |
| Idioma(s) |
en |
| Publicador |
Bulgarian Academy of Sciences - National Committee for Mathematics |
| Palavras-Chave | #double Fourier series #modulus of smoothness #Fejer's kernel |
| Tipo |
Article |
