Scopus
A different perspective: Hermite-type exponential sampling series
Computational and Applied Mathematics · Mayıs 2026
Makale Bilgileri
DergiComputational and Applied Mathematics
Yayın TarihiMayıs 2026
Cilt / Sayfa45
Scopus ID2-s2.0-105025094039
Özet
When we look at the classical rather than the exponential sampling operators, these operators are modelled on the sampling expansion for bandlimited functions given by the Whittaker-Kotel’nikov-Shannon theorem. Some variations of this classical theorem have been proposed in many works. One of them (going back to Jagerman and Fogel and, more generally, to Linden and Abramson) also considers derivative instances for the reconstruction of bandlimited functions and consequently provides the advantage of a larger sampling rate compared to the Whittaker-Kotel’nikov-Shannon theorem. Very recently, a modification of generalized sampling operators similar to this paper has been considered by R. Corso. Taking this paper into account, we modify the exponential sampling operators to include sampling of Mellin derivatives up to a general order to approximate Mellin-bandlimited functions which need not be necessary. We investigate the basic approximation properties and rate of convergence of the series which we call Hermite-type exponential sampling series. Finally, we present numerical results and graphical representations comparing the new operator with the classical one, considering some examples of kernels that support our main results.
Yazarlar (2)
1
Sadettin Kursun
ORCID: 0000-0001-6697-9627
2
Tuncer Acar
Anahtar Kelimeler
Approximation properties
Hermite-type exponential sampling operators
Numerical results and graphical representations
Rate of convergence
Some examples of kernels
Kurumlar
İzmir Kâtip Çelebi Üniversitesi
Izmir Turkey
Selçuk Üniversitesi
Selçuklu Turkey