𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Polygonal Dirichlet Kernels and growth of Lebesgue constants

✍ Scribed by A. A. Yudin; V. A. Yudin

Publisher
SP MAIK Nauka/Interperiodica
Year
1985
Tongue
English
Weight
599 KB
Volume
37
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Representation of Reproducing Kernels an
Representation of Reproducing Kernels and the Lebesgue Constants on the Ball
✍ Yuan Xu πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 149 KB

For the weight function (1 -||x|| 2 ) m -1/2 on the unit ball, a closed formula of the reproducing kernel is modified to include the case -1/2 < m < 0. The new formula is used to study the orthogonal projection of the weighted L 2 space onto the space of polynomials of degree at most n, and it is pr

A Decrease in Growth of Lebesgue Constan
A Decrease in Growth of Lebesgue Constants
✍ E Liflyand πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 188 KB

The Lebesgue constants of cubic partial sums of order N of n-dimensional Fourier series behave asymptotically as ln 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 ln ny 1 N.