Work

Nonlinear approximation by $N$-dimensional sampling type discrete operators with applications

Year: 2024

Type: article

Abstract: In this paper, we explore $N$-dimensional nonlinear discrete operators, closely related to generalized sampling series. We investigate their approximation properties by using the supremum norm and employ a summability method to generalize the discrete operators. The order of convergence is studied by using suitable Lipschitz classes of uniformly continuous functions. We exemplify kernel functions that meet the necessary conditions. Additionally, in the final section of the paper, we propose an operator-based method for digital image zooming.

Source: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

DOI: 10.31801/cfsuasmas.1503136

Author: İsmail Aslan

Institutions: Ankara University, Hacettepe University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

Award: Bell Tipinde Toplanabilme Metodunun Lineer Olmayan Operatörlere Uygulanması Ve Görüntü İşleme