Fuzzy approximation based on statistical rates

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Apr 2010 Turkey Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 76, pages 453-464 (issn: 0033-3883,

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Authors: Duman, Oktay;

doi: 10.5486/pmd.2010.4546

handle: 20.500.11851/6760

Fuzzy approximation based on statistical rates

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Abstract

The paper contains fuzzy Korovkin-type approximation results based on statistical rates instead of statistical convergence or ordinary convergence. The author's approach covers both the algebraic and trigonometric cases in fuzzy sense. The results are more general than the classical fuzzy Korovkin results and the statistical fuzzy approximation results; an example in this sense is presented in the last section.

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Turkey

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Keywords

Fuzzy real analysis, Approximation by positive operators, Summability methods using statistical convergence, statistical rates, Rate of convergence, degree of approximation, statistical convergence, fuzzy Korovkin theory, fuzzy positive linear operators

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