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On a fuzzy trigonometric approximation theorem of Weierstrass-type. (English) Zbl 1004.42005

Summary: We prove that any \(2\pi\)-periodic fuzzy continuous function from \(\mathbb{R}\) to the fuzzy number space \(\mathbb{R}_{\mathcal F}\) can be uniformly approximated by some fuzzy trigonometric polynomials.

MSC:

42A10 Trigonometric approximation
41A30 Approximation by other special function classes
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