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A FUZZY TRIGONOMETRIC APPROXIMATION THEOREM OF WEIERSTRASS-TYPE

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 251))

Abstract

In this chapter we show that any 2π-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. This chapter is based on [31].

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Anastassiou, G.A. (2010). A FUZZY TRIGONOMETRIC APPROXIMATION THEOREM OF WEIERSTRASS-TYPE. In: Fuzzy Mathematics: Approximation Theory. Studies in Fuzziness and Soft Computing, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11220-1_5

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  • DOI: https://doi.org/10.1007/978-3-642-11220-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11219-5

  • Online ISBN: 978-3-642-11220-1

  • eBook Packages: EngineeringEngineering (R0)

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