Approximations by linear operators in spaces of fuzzy continuous functions

Approximations by linear operators in spaces of fuzzy continuous functions In this work, we further develop the Korovkin-type approximation theory by utilizing a fuzzy logic approach and principles of neoclassical analysis, which is a new branch of fuzzy mathematics and extends possibilities provided by the classical analysis. In the conventional setting, the Korovkin-type approximation theory is developed for continuous functions. Here we extend it to the space of fuzzy continuous functions, which contains a great diversity of functions that are not continuous. Furthermore, we give several applications, demonstrating that our new approximation results are stronger than the classical ones. Positivity Springer Journals

Approximations by linear operators in spaces of fuzzy continuous functions

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SP Birkhäuser Verlag Basel
Copyright © 2009 by The Author(s)
Mathematics; Econometrics; Operator Theory; Calculus of Variations and Optimal Control; Optimization; Fourier Analysis; Potential Theory
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