Approximation of Linear Positive Fuzzy Operators
Abstract
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.
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