A decrease in growth of Lebesgue constants

[摘要] The Lebesgue constants of cubic partial sums of order N of n-dimensional Fourier series behave asymptotically as In-n N. For cubic linear means generated by a function vanishing only at 2(n) corner points the order of growth of the Lebesgue constants decreases and equals asymptotically to Inn-1 N. This generalizes Kivinukk's results where the ordinary estimates were given. (C) 1997 Academic Press.

[发布日期] 1997-08-01