Name
Abstract | ||
|---|---|---|
The main aim of this article is to establish summation formulae in form of sampling expansion series for Bessel functions Yv, Iv; and Kv, 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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/SACI.2013.6608942 | Applied Computational Intelligence and Informatics |
Keywords | Field | DocType |
Bessel functions,approximation theory,signal sampling,Bessel function sampling,Y-Bessel sampling series approximation,cylinder functions,initial signal function sampling nodes,principal derivation tools,sampling expansion series,sharp truncation error upper bounds,summation formulae,Bessel functions of the first and second kind Jv, Yv,K v,Kramer's sampling theorem,Y- Bessel sampling,modified Bessel functions of the first and second kind Iv,sampling series expansions,sampling series truncation error upper bound | Bessel polynomials,Struve function,Mathematical analysis,Bessel filter,Cylindrical harmonics,Bessel process,Sampling (statistics),Bessel's inequality,Mathematics,Bessel function | Conference |
ISBN | Citations | PageRank |
978-1-4673-6397-6 | 0 | 0.34 |
References | Authors | |
2 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dragana Jankov Masirevic | 1 | 0 | 0.34 |
| Tibor Pogány | 2 | 32 | 13.73 |
| Arpad Bariez | 3 | 0 | 0.34 |
| Aurél Galántai | 4 | 25 | 3.05 |