Naslov
Universal truncation error upper bounds in sampling restoration

Autori
Olenko, Andriy Yakovich ; Poganj, Tibor

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Mathematical Inequalities and Applications 2008, Book of Abstracts / - Lahti : Element, 2008, 113-113

Skup
Mathematical Inequalities and Applications 2008, Conference in honour of Professor Josip Počarić on the occasion of his 60th birthday

Mjesto i datum
Trogir, Hrvatska, 08.06.2008. - 15.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Plancherel-P\'olya inequality; WKS sampling theorem; uniform sampling; truncation error upper bound

Sažetak
The multidimensional analogue of the Plancherel-P\'olya inequality is obtained, and the extremal properties of series of "sinc" functions are investigated. Then universal (pointwise uniform and time shifted) truncation error upper bounds for the WKS uniform, regular sampling restoration sum for Bernstein classes $B_{;\pi, d};^q, q>1, d\in \mathbb N$$ are established, when the decay rate of the sampled functions is unknown.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA