Approximation of Linear Positive Fuzzy Operators
Resumo
This study extends the main results of classical approximation theory to fuzzy theory. We begin by defining fuzzy valued functions, exploring their properties and then applying the fuzzy Korovkin theorem to approximate them. The study delves into the approximation by various linear positive fuzzy operators – Fuzzy Bernstein, fuzzy Szasz-Mirakyan and fuzzy Baskakov operators – utilizing them to approximate fuzzy-valued functions. Their Voronovskaya type asymptotic result is also proved using Taylor’s theorem.
Downloads
Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
