✦ LIBER ✦

A Decrease in Growth of Lebesgue Constants

✍ Scribed by E Liflyand

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 188 KB
Volume: 212
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5432

No coin nor oath required. For personal study only.

✦ Synopsis

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. This generalizes Kivinukk's results where the ordinary estimates were given.

📜 SIMILAR VOLUMES

Polygonal Dirichlet Kernels and growth o

Polygonal Dirichlet Kernels and growth of Lebesgue constants

✍ A. A. Yudin; V. A. Yudin 📂 Article 📅 1985 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 599 KB

Behavior of Lebesgue constants

✍ V. A. Yudin 📂 Article 📅 1975 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 154 KB

Intermediate rates of growth of Lebesgue

Intermediate rates of growth of Lebesgue constants in the two-dimensional case

✍ A. N. Podkorytov 📂 Article 📅 1987 🏛 Springer US 🌐 English ⚖ 366 KB

On a certain class of Lebesgue constants

✍ J. H. McCabe; G. M. Phillips 📂 Article 📅 1973 🏛 Springer Netherlands 🌐 English ⚖ 356 KB

Lebesgue constants of conjugate fourier

Lebesgue constants of conjugate fourier sums in the multidimensional case

✍ M. A. Skopina 📂 Article 📅 1984 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 315 KB

Absolute projection constant of the line

Absolute projection constant of the linear functions in a Lebesgue space

✍ Bruce L. Chalmers 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 138 KB