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Pregled bibliografske jedinice broj: 430416

Convergence rate in multidimensional irregular sampling restoration


Olenko, Andriy Ya.; Poganj, Tibor
Convergence rate in multidimensional irregular sampling restoration // Journal of mathematical inequalities, 3 (2009), 4; 567-576 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 430416 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Convergence rate in multidimensional irregular sampling restoration

Autori
Olenko, Andriy Ya. ; Poganj, Tibor

Izvornik
Journal of mathematical inequalities (1846-579X) 3 (2009), 4; 567-576

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Whittaker - Kotel'nikov - Shannon sampling restoration formula ; Approximation/interpolation error level ; Truncation error upper bound ; Irregular sampling ; Multidimensional sampling ; Convergence rate.

Sažetak
New magnitude of truncation error upper bound and convergence rate are obtained for Whittaker - Kotel'nikov - Shannon (WKS) sampling restoration sum for Bernstein function class $B_{; ; ; \pi, d}; ; ; ^q, q \ge 1, d\in \mathbb N$, when the sampled functions decay rate is unknown. The case of multidimensional irregular sampling is discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
112-2352818-2814 - Redovi uzorkovanja, Mathieuovi redovi i specijalne funkcije

Ustanove:
Pomorski fakultet, Rijeka

Profili:

Avatar Url Tibor Poganj (autor)

Citiraj ovu publikaciju:

Olenko, Andriy Ya.; Poganj, Tibor
Convergence rate in multidimensional irregular sampling restoration // Journal of mathematical inequalities, 3 (2009), 4; 567-576 (međunarodna recenzija, članak, znanstveni)
Olenko, A. & Poganj, T. (2009) Convergence rate in multidimensional irregular sampling restoration. Journal of mathematical inequalities, 3 (4), 567-576.
@article{article, author = {Olenko, Andriy Ya. and Poganj, Tibor}, year = {2009}, pages = {567-576}, keywords = {Whittaker - Kotel'nikov - Shannon sampling restoration formula, Approximation/interpolation error level, Truncation error upper bound, Irregular sampling, Multidimensional sampling, Convergence rate.}, journal = {Journal of mathematical inequalities}, volume = {3}, number = {4}, issn = {1846-579X}, title = {Convergence rate in multidimensional irregular sampling restoration}, keyword = {Whittaker - Kotel'nikov - Shannon sampling restoration formula, Approximation/interpolation error level, Truncation error upper bound, Irregular sampling, Multidimensional sampling, Convergence rate.} }
@article{article, author = {Olenko, Andriy Ya. and Poganj, Tibor}, year = {2009}, pages = {567-576}, keywords = {Whittaker - Kotel'nikov - Shannon sampling restoration formula, Approximation/interpolation error level, Truncation error upper bound, Irregular sampling, Multidimensional sampling, Convergence rate.}, journal = {Journal of mathematical inequalities}, volume = {3}, number = {4}, issn = {1846-579X}, title = {Convergence rate in multidimensional irregular sampling restoration}, keyword = {Whittaker - Kotel'nikov - Shannon sampling restoration formula, Approximation/interpolation error level, Truncation error upper bound, Irregular sampling, Multidimensional sampling, Convergence rate.} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Referrativnij Zhurnal Matematika





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