Pregled bibliografske jedinice broj: 400021
Universal truncation error upper bounds in sampling restoration
Universal truncation error upper bounds in sampling restoration // Georgian mathematical journal, 17 (2010), 4; 765-786 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 400021 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Universal truncation error upper bounds in sampling restoration
Autori
Olenko, Andriy ; Poganj, Tibor
Izvornik
Georgian mathematical journal (1072-947X) 17
(2010), 4;
765-786
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Whittaker-Kotel'nikov-Shannon sampling restoration formula ; Approximation/interpolation error level ; Plancherel-P\'olya inequality ; Bernstein function class ; Regular sampling theorem ; Truncation error upper bound ; Multidimensional sampling ; sinc functions ; Incomplete Lambda function
Sažetak
Universal (pointwise uniform and time shifted) truncation error upper boundsare presented for the Whittaker-Kotel'nikov-Shannon (WKS) sampling restoration sum for Bernstein function classes $B_{; ; \pi, d}; ; ^q, q>1, d\in \mathbb N$, when the decay rate of the sampled functions is unknown. The case of regular sampling is discussed. Extremal properties of related series of sinc functions are investigated.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Tehnologija prometa i transport
POVEZANOST RADA
Projekti:
112-2352818-2814 - Redovi uzorkovanja, Mathieuovi redovi i specijalne funkcije
112-1121722-3314 - Informacijsko-komunikacijske tehnologije u inteligentnim pomorskim sustavima (Tomas, Vinko, MZOS ) ( CroRIS)
Ustanove:
Pomorski fakultet, Rijeka
Profili:
Tibor Poganj
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Referativnij Zhurla Matematika
