Work

Approximation methods in BV for nonlinear generalized sampling series

Year: 2025

Type: article

Abstract: We study a nonlinear version of the classical generalized sampling series within the space of functions of bounded variation. In particular, by means of such operators, in the case of kernels of product and averaged type, we obtain a variation-diminishing type estimate and a convergence result. The problem of the rate of approximation is also addressed.

Source: Results in Mathematics

DOI: 10.1007/s00025-025-02416-3

Authors: Laura Angeloni, Federica Vici

Institution: University of Perugia

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Perugia, Ministero dell'Università e della Ricerca, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni