Approximation results in Orlicz space using max-min Fractional type neural network operators

Abstract

In this study, we introduce and study the max-min fractional type neural network operators. The operators are generated by sigmoidal activation functions, which play an important role in the approximation process. These operators provide a constructive tool for the approximation of functions that may not necessarily be continuous. In particular, the main result proved here is a modular convergence theorem in Orlicz spaces. We provide some graphical representations to illustrate the approximation error of the function through activation functions.

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Luhar S., Srivastava S. K. (2026) "Approximation results in Orlicz space using max-min Fractional type neural network operators ", Dolomites Research Notes on Approximation, 19(1), 242-252. DOI: 10.25430/pupj-DRNA-2026-1-19  
Year of Publication
2026
Journal
Dolomites Research Notes on Approximation
Volume
19
Issue Number
1
Start Page
242
Last Page
252
Date Published
10/2026
ISSN Number
2035-6803
Serial Article Number
19
DOI
10.25430/pupj-DRNA-2026-1-19
Issue
Section
Articles