Naslov
Sampling Bessel functions and Bessel sampling

Autori
Jankov Maširević, Dragana ; Poganj, Tibor ; Baricz, Arpad ; Galantai, Aurel

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Skup
8th IEEE International Symposium on Applied Computational Intelligence and Informatics

Mjesto i datum
Temišvar, Rumunjska, 23.05.2013. - 25.05.2013

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Kramer’s sampling theorem ; Bessel functions of the first and second kind $J_\nu$, $Y_\nu$, modified Bessel functions of the first and second kind $I_\nu$, $K_\nu$ ; sampling series expansions ; 𝑌 – Bessel sampling ; sampling series truncation error upper bound

Sažetak
The main aim of this article is to establish summation formulae in form of sampling expansion series for Bessel functions 𝑌𝜈, 𝐼𝜈 and 𝐾𝜈, and obtain sharp truncation error upper bounds occurring in the 𝑌 –Bessel sampling series approximation. The principal derivation tools are the famous sampling theorem by Kramer and various properties of Bessel and modified Bessel functions which lead to the so–called Bessel sampling when the sampling nodes of the initial signal function coincide with a set of zeros of different cylinder functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA