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Fuzzy q-Bernstein polynomials | IEEE Conference Publication | IEEE Xplore

Fuzzy q-Bernstein polynomials


Abstract:

In this note, we give the definition of the fuzzy q-Bernstein polynomials and discuss their properties. We obtain the approximation rate of the fuzzy q-Bernstein polynomi...Show More

Abstract:

In this note, we give the definition of the fuzzy q-Bernstein polynomials and discuss their properties. We obtain the approximation rate of the fuzzy q-Bernstein polynomials and the fuzzy limit q-Bernstein operators. We show that the fuzzy q-Bernstein polynomials have the shape-preserving properties. We also obtain the convergence rate of the fuzzy q-Bernstein polynomials for fixed q ∈ (0, 1). The surprising fact is that we can transfer results of q-Bernstein polynomials in the case q ∈ (0, 1) into the fuzzy setting.
Date of Conference: 29-31 May 2012
Date Added to IEEE Xplore: 09 July 2012
ISBN Information:
Conference Location: Chongqing, China

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