Statistical fuzzy approximation by fuzzy positive linear operators

DOI10.1016/j.camwa.2007.05.007zbMath1155.41314OpenAlexW2013670181MaRDI QIDQ1005833

George A. Anastassiou, Oktay Duman

Publication date: 10 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.05.007

zbMATH Keywords

statistical convergencefuzzy Korovkin theoryfuzzy modulus of continuityfuzzy positive linear operatorsstatistical rates

Mathematics Subject Classification ID

Special methods of summability (40G99) Approximations and expansions (41A99) Fuzzy functional analysis (46S40)

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Cites Work

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• Elementary fuzzy calculus
• Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
• Embedding problem of fuzzy number space. I
• Korovkin-type approximation theory and its applications
• The approximation of continuous functions by positive linear operators
• Analysis of approximation of continuous fuzzy functions by multivariate fuzzy polynomials
• Fuzzy approximation by fuzzy convolution type operators
• High-order fuzzy approximation by fuzzy wavelet type and neural network operators
• Densities and summability
• Statistical rates on the multivariate approximation theory
• Fuzzy random Korovkin theory and inequalities
• ON STATISTICAL CONVERGENCE
• Matrix Summability of Statistically Convergent Sequences
• A-Statistical convergence of approximating operators
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• Sur la convergence statistique

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