Cím: | On the maximum of the rectangular partial sums of double trigonometric series with nonnegative coefficients. |
Szerző: | M\'oricz, F. |
Forrás: | Anal. Math. 15, No.4, 283-290 (1990). |
Nyelv: | English |
Absztrakt: | The author proves a necessary and sufficient condition for integrability of the maximum of the partial sums of the double cosine and sine series with monotone coefficients as well as a sufficient one for pointwise and normwise convergence of these series. The results are two-dimensional analogues of a result of {\it S. B. Stechkin} [Usp. Mat. Nauk 18, No. 1(109), 173-180 (1963; Zbl 0113.275)], but which have been obtained in a different way.} \RV{W.{\L}enski (Pozna\'n) |
Letöltés: | | Zentralblatt |