Pregled bibliografske jedinice broj: 258992
Time shifted aliasing error upper bounds for truncated sampling cardinal series
Time shifted aliasing error upper bounds for truncated sampling cardinal series // Jounral of Mathematical Analysis and Applications, 324 (2006), 1; 262-280 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 258992 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Time shifted aliasing error upper bounds for truncated sampling cardinal series
Autori
Olenko, A.Ya. ; Poganj, Tibor
Izvornik
Jounral of Mathematical Analysis and Applications (0022-247X) 324
(2006), 1;
262-280
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
aliasing; approximation/interpolation erro level; asymptotic behaviour; Dirichlet Lambda; Extremal function; Fourier transform; incomplete Lambda function; multidimensional sampling; Plancherel-P\'olya inequality; regular sampling theorem; WKS sampling
Sažetak
Time shifted alisaing error upper bound extremals for the sampling reconstruction procedure are fully characterized. Sharp upper bounds are found on the alisaing error of truncated cardinal series and the corresponding extremals are described for the entire functions from certain specific $L^p, p \ge 1$ classes. Analogous results are obtained in multidimensional regular sampling. Truncation error analysis is provided in all cases considered. Sharpness of bounding inequalities. convergence rates and various sufficient conditions are discussed.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- 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::
- Mathematical Reviews
- Zentralblatt fur Mathematik
- Scopus
