Exponential Sampling Series: Convergence in Mellin-Lebesgue Spaces

Bardaro C, Mantellini I, Schmeißer G (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Results in Mathematics Springer Verlag (Germany)

Book Volume: 74

Journal Issue: 3

DOI: 10.1007/s00025-019-1044-5

Abstract

In this paper we study norm-convergence to a function f of its generalized exponential sampling series in weighted Lebesgue spaces. Key roles are taken by a result on the norm-density of the test functions and the notion of bounded coarse variation. Some examples are described.

Authors with CRIS profile

Gerhard Schmeißer Department Mathematik

Involved external institutions

Università degli Studi di Perugia IT Italy (IT)

How to cite

APA:

Bardaro, C., Mantellini, I., & Schmeißer, G. (2019). Exponential Sampling Series: Convergence in Mellin-Lebesgue Spaces. Results in Mathematics, 74(3). https://dx.doi.org/10.1007/s00025-019-1044-5

MLA:

Bardaro, Carlo, Ilaria Mantellini, and Gerhard Schmeißer. "Exponential Sampling Series: Convergence in Mellin-Lebesgue Spaces." Results in Mathematics 74.3 (2019).

BibTeX: Download