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Your search keyword '"Rudas, Imre"' showing total 2 results
Start Over Author "Rudas, Imre" Topic approximation theory
2 results on '"Rudas, Imre"'

1. Approximation properties of fuzzy transforms

Author

Bede, Barnabás and Rudas, Imre J.

Subjects
*FUZZY systems, *APPROXIMATION theory, *MATHEMATICAL transformations, *POLYNOMIALS, *OPERATOR theory, *BERNSTEIN polynomials, *ESTIMATES
Abstract

Abstract: We enlarge the class of fuzzy transforms (F-transforms) by considering different types of fuzzy partitions. New types of F-transforms are constructed based on B-splines, Shepard kernels, Bernstein basis polynomials and Favard–Szász–Mirakjan type operators. We study approximation properties of F-transforms. Particular cases of the classical Korovkin''s theorems are presented, together with new error estimates for different types of fuzzy transforms. It turns out that F-transforms can be studied in the framework of classical approximation theory. [Copyright &y& Elsevier]

Published
2011
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2. Approximation by Shepard type pseudo-linear operators and applications to Image Processing

Author

Bede, Barnabás, Schwab, Emil Daniel, Nobuhara, Hajime, and Rudas, Imre J.

Subjects
*PSEUDODIFFERENTIAL operators, *PSEUDOCODE (Computer program language), *IMAGE processing, *APPROXIMATION theory
Abstract

Abstract: Recently, it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators. Several other operations provided by fuzzy sets theory can be used. In the present paper, pseudo-linear approximation operators are investigated from the practical point of view in Image Processing. We study max–min, max–product Shepard type approximation operators together with Shepard operators based on pseudo-operations generated by an increasing continuous generator. It is shown that in several cases these outperform classical approximation operators based on sum and product operations. [Copyright &y& Elsevier]

Published
2009
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