Anastassiou, George A. Multivariate fuzzy approximation by neural network operators activated by a general sigmoid function. (English) Zbl 07743253 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 1-28 (2023). MSC: 41A17 26A15 26E50 41A25 41A99 47S40 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 1--28 (2023; Zbl 07743253) Full Text: DOI Link
Anastassiou, George A. Fuzzy fractional more sigmoid function activated neural network approximations revisited. (English) Zbl 1528.26006 Math. Found. Comput. 6, No. 3, 320-353 (2023). MSC: 26A33 26E50 41A17 41A25 41A30 41A36 47S40 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Math. Found. Comput. 6, No. 3, 320--353 (2023; Zbl 1528.26006) Full Text: DOI
Anastassiou, George A.; Kester, Merve Discrete approximation theory. (English) Zbl 1364.41001 Series on Concrete and Applicable Mathematics 20. Hackensack, NJ: World Scientific (ISBN 978-981-3145-83-2/hbk; 978-981-3145-85-6/ebook). xii, 334 p. (2017). Reviewer: Tuncer Acar (Kirikkale) MSC: 41-02 41A35 39A12 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{M. Kester}, Discrete approximation theory. Hackensack, NJ: World Scientific (2017; Zbl 1364.41001) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. On the convergence of iterative methods with applications in generalized fractional calculus. (English) Zbl 1347.26016 Nonlinear Funct. Anal. Appl. 21, No. 1, 105-120 (2016). MSC: 26A33 65G99 47J25 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Nonlinear Funct. Anal. Appl. 21, No. 1, 105--120 (2016; Zbl 1347.26016)
Anastassiou, George A.; Argyros, Ioannis K. Approximating fixed points with applications in fractional calculus. (English) Zbl 1337.26007 J. Comput. Anal. Appl. 21, No. 7, 1225-1242 (2016). MSC: 26A33 65G99 47J25 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, J. Comput. Anal. Appl. 21, No. 7, 1225--1242 (2016; Zbl 1337.26007)
Anastassiou, George A.; Argyros, Ioannis K. Semilocal convegence of Newton-like methods under general conditions, with applications in fractional calculus. (English) Zbl 1399.65116 J. Numer. Anal. Approx. Theory 44, No. 2, 113-126 (2015). MSC: 65G99 65H10 26A33 47J25 47J05 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, J. Numer. Anal. Approx. Theory 44, No. 2, 113--126 (2015; Zbl 1399.65116)
Anastassiou, George A. Fuzzy fractional approximations by fuzzy normalized bell and squashing type neural network operators. (English) Zbl 1371.41019 J. Fuzzy Math. 22, No. 1, 139-156 (2014). MSC: 41A25 26A33 26E50 41A30 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, J. Fuzzy Math. 22, No. 1, 139--156 (2014; Zbl 1371.41019)
Anastassiou, George A. Multivariate fuzzy perturbed neural network operators approximation. (English) Zbl 1312.26052 J. Nonlinear Sci. Appl. 7, No. 6, 383-406 (2014). MSC: 26E50 41A17 41A25 41A36 47S40 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, J. Nonlinear Sci. Appl. 7, No. 6, 383--406 (2014; Zbl 1312.26052) Full Text: DOI Link
Anastassiou, George A. Transfers of real approximations to vectorial and fuzzy setting. (English) Zbl 1205.26039 Indian J. Math. 52, No. 2, 331-355 (2010). MSC: 26E50 41A17 41A25 41A65 47S40 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Indian J. Math. 52, No. 2, 331--355 (2010; Zbl 1205.26039)
Anastassiou, George A. Uniform real and fuzzy estimates for distances between wavelet type operators at real and fuzzy setting. (English) Zbl 1197.26049 J. Appl. Funct. Anal. 5, No. 1, 42-72 (2010). MSC: 26E50 26D15 41A17 41A25 47S40 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, J. Appl. Funct. Anal. 5, No. 1, 42--72 (2010; Zbl 1197.26049)
Anastassiou, George A. Fuzzy mathematics: approximation theory. (English) Zbl 1476.41001 Studies in Fuzziness and Soft Computing 251. Berlin: Springer (ISBN 978-3-642-11219-5/hbk; 978-3-642-26239-5/pbk; 978-3-642-11220-1/ebook). xii, 443 p. (2010). MSC: 41-02 26-02 26E50 40A05 41A36 47S40 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Fuzzy mathematics: approximation theory. Berlin: Springer (2010; Zbl 1476.41001) Full Text: DOI
Anastassiou, George A.; Duman, Oktay High order statistical fuzzy Korovkin theory. (English) Zbl 1172.26329 Stochastic Anal. Appl. 27, No. 3, 543-554 (2009). Reviewer: Stamatis Koumandos (Nicosia) MSC: 26E50 41A36 41A25 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{O. Duman}, Stochastic Anal. Appl. 27, No. 3, 543--554 (2009; Zbl 1172.26329) Full Text: DOI
Anastassiou, George A.; Duman, Oktay Statistical fuzzy approximation by fuzzy positive linear operators. (English) Zbl 1155.41314 Comput. Math. Appl. 55, No. 3, 573-580 (2008). MSC: 41A99 40G99 46S40 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{O. Duman}, Comput. Math. Appl. 55, No. 3, 573--580 (2008; Zbl 1155.41314) Full Text: DOI
Duman, Oktay; Anastassiou, George A. On statistical fuzzy trigonometric Korovkin theory. (English) Zbl 1134.26010 J. Comput. Anal. Appl. 10, No. 3, 333-344 (2008). MSC: 26E50 41A25 41A36 PDFBibTeX XMLCite \textit{O. Duman} and \textit{G. A. Anastassiou}, J. Comput. Anal. Appl. 10, No. 3, 333--344 (2008; Zbl 1134.26010)
Anastassiou, George A. Fuzzy random Korovkin theory and inequalities. (English) Zbl 1117.26019 Math. Inequal. Appl. 10, No. 1, 63-94 (2007). Reviewer: Wolfgang Näther (Freiberg) MSC: 26E50 28E10 41A17 41A25 41A36 47S40 60H25 60H99 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Math. Inequal. Appl. 10, No. 1, 63--94 (2007; Zbl 1117.26019) Full Text: DOI
Anastassiou, George A.; Gal, S. G. On fuzzy trigonometric Korovkin theory. (English) Zbl 1143.26013 Nonlinear Funct. Anal. Appl. 11, No. 3, 385-395 (2006). Reviewer: Vladimír Janiš (Banská Bystrica) MSC: 26E50 41A17 41A25 41A36 47S40 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{S. G. Gal}, Nonlinear Funct. Anal. Appl. 11, No. 3, 385--395 (2006; Zbl 1143.26013)
Anastassiou, George A. The degree of convergence of sequences of multivariate wavelet type operators. (English) Zbl 0932.41014 Chui, Charles K. (ed.) et al., Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3–6, 1998. Nashville, TN: Vanderbilt University Press. Innovations in Applied Mathematics. 1-6 (1998). MSC: 41A25 42C40 41A17 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, in: Approximation theory IX. Volume 1. Theoretical aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3--6, 1998. Nashville, TN: Vanderbilt University Press. 1--6 (1998; Zbl 0932.41014)
Zhou, Mi; Anastassiou, George A. Representation formulae for \((C_ 0)\) \(m\)-parameter operator semigroups. (English) Zbl 0862.47019 Ann. Pol. Math. 63, No. 3, 247-272 (1996). MSC: 47D03 47D06 41A36 41A63 60G50 41A65 60H30 41A17 41A80 47A56 PDFBibTeX XMLCite \textit{M. Zhou} and \textit{G. A. Anastassiou}, Ann. Pol. Math. 63, No. 3, 247--272 (1996; Zbl 0862.47019) Full Text: DOI
Anastassiou, G. A.; Yu, X. M. Probabilistic discrete wavelet approximation. (English) Zbl 0760.42015 Numer. Funct. Anal. Optimization 13, No. 1-2, 117-121 (1992). MSC: 42C40 41A17 41A25 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{X. M. Yu}, Numer. Funct. Anal. Optim. 13, No. 1--2, 117--121 (1992; Zbl 0760.42015) Full Text: DOI