Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels

Author:

Costarelli DaniloORCID,Vinti Gianluca

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

Department of Mathematics and Computer Science of the University of Perugia

Fondazione Cassa di Risparmio di Perugia

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Reference47 articles.

1. Angeloni, L., Costarelli, D., Vinti, G.: A characterization of the convergence in variation for the generalized sampling series. Annales Academiae Scientiarum Fennicae Mathematica 43, 755–767 (2018)

2. Angeloni, L., Costarelli, D., Vinti, G.: A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators. Mediterr. J. Math. (2019). https://doi.org/10.1007/s00009-019-1315-0

3. Asdrubali, F., Baldinelli, G., Bianchi, F., Costarelli, D., Rotili, A., Seracini, M., Vinti, G.: Detection of thermal bridges from thermographic images by means of image processing approximation algorithms. Appl. Math. Comput. 317, 160–171 (2018)

4. Bardaro, C., Butzer, P.L., Mantellini, I.: The foundations of fractional calculus in the Mellin transform setting with applications. J. Fourier Anal. Appl. 21(5), 961–1017 (2015)

5. Bardaro, C., Butzer, P.L., Stens, R.L., Vinti, G.: Kantorovich-type generalized sampling series in the setting of Orlicz spaces. Sampl. Theory Signal Image Process. 6(1), 29–52 (2007)

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