Work

Performance Analysis of Half-Hyperbolic Convolution (HHC)-Type Operators via Regression-Based Metrics

Year: 2026

Type: article

Abstract: In this paper, we first introduce the adjustable half-hyperbolic (adj HH) tangent function as an activation function. We then establish both quantitative and qualitative convergence results for HH-activated convolution-type positive linear operators (PLOs) acting on the space of bounded and continuous functions on the real line. The theoretical convergence results are numerically validated by means of error decay plots obtained using Python (version 3.13). Moreover, we compare three different classes of HHC-type operators in terms of their convergence behavior and approximation performance. Finally, we conclude by discussing several potential application areas that illustrate the relevance of the presented theoretical framework.

Source: Algorithms

DOI: 10.3390/a19030217

Authors: George A. Anastassiou, Seda Karateke, Metin Zontul

Institutions: University of Memphis, Atlas Üniversitesi, Sivas Bilim ve Teknoloji Üniversitesi

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,930

OpenAlex ID: W7135192385

FWCI: 10.72

Cites: 8

Cited by: 2

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