Double trigonometric series with coefficients of bounded variation of higher order
2004 ◽
Vol 35
(3)
◽
pp. 267-280
◽
Keyword(s):
In this paper the following convergence properties are established for the rectangular partial sums of the double trigonometric series, whose coefficients form a null sequence of bounded variation of order $ (p,0) $, $ (0,p) $ and $ (p,p) $, for some $ p\ge 1$: (a) pointwise convergence; (b) uniform convergence; (c) $ L^r $-integrability and $ L^r $-metric convergence for $ 0
1993 ◽
Vol 172
(2)
◽
pp. 600-601
1993 ◽
Vol 172
(2)
◽
pp. 582-599
◽
1994 ◽
Vol 49
(2)
◽
pp. 333-339
◽
2020 ◽
Vol 27
(1)
◽
pp. 89-110
2002 ◽
Vol 30
(9)
◽
pp. 533-540
Keyword(s):