Pregled bibliografske jedinice broj: 120605
Local growth of Weierstrass σ-function and Whittaker-type derivative sampling
Local growth of Weierstrass σ-function and Whittaker-type derivative sampling // Georgian mathematical journal, 10 (2003), 1; 157-164 doi:10.1515/GMJ.2003.157 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
Local growth of Weierstrass σ-function and Whittaker-type derivative sampling
Autori
Poganj, Tibor K.
Izvornik
Georgian mathematical journal (1072-947X) 10
(2003), 1;
157-164
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
circular truncation error ; derivative sampling ; entire function spaces [ρ, 𝜓], [ρ, 𝜓) ; sampling truncation error upper bound ; Weierstrass σ-function ; Whittaker-type derivative sampling reconstruction
Sažetak
Two explicit guard functions 𝐾𝑗= 𝐾𝑗(δ𝑧), 𝑗 = 1, 2, are obtained, which depend on the distance δ𝑧 between 𝑧 and the nearest point of the integer lattice in the complex plane, such that δ𝑧𝐾1(δ𝑧) ≤ |σ(𝑧)| 𝑒–π|𝑧|2/2 ≤ δ𝑧𝐾2(δ𝑧), 𝑧 ∈ ℂ, where σ(𝑧) stands for the Weierstraß σ-function. This result is used to improve the circular truncation error upper bound in the 𝑞-th order Whittaker-type derivative sampling for the Leont'ev functions space.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Mathematical Reviews
- CMP Abstracts
