Statistical extension of the Korovkin-type approximation theorem.
Demirici, Kamil, Dirik, Fadime (2011)
Applied Mathematics E-Notes [electronic only]
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Demirici, Kamil, Dirik, Fadime (2011)
Applied Mathematics E-Notes [electronic only]
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Mehmet Özarslan (2009)
Open Mathematics
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In this paper, we obtain some approximation theorems for k- positive linear operators defined on the space of analytical functions on the unit disc, via I-convergence. Some concluding remarks which includes A-statistical convergence are also given.
O. Duman, M. A. Özarslan, O. Doğru (2006)
Studia Mathematica
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We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the rth order generalization of our operators.
Martin Máčaj, Tibor Šalát (2001)
Mathematica Bohemica
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This paper is closely related to the paper of Harry I. Miller: Measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347 (1995), 1811–1819 and contains a general investigation of statistical convergence of subsequences of an arbitrary sequence from the point of view of Lebesgue measure, Hausdorff dimensions and Baire’s categories.
Stanislav Jílovec (1970)
Kybernetika
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Ivan Kramosil, Zbigniew Zwinogrodzki (1974)
Kybernetika
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Matthev O. Ojo (2000)
Kragujevac Journal of Mathematics
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Mehmet Özarslan, Hüseyin Aktuǧlu (2008)
Open Mathematics
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In this study, we obtain a local approximation theorems for a certain family of positive linear operators via I-convergence by using the first and the second modulus of continuities and the elements of Lipschitz class functions. We also give an example to show that the classical Korovkin Theory does not work but the theory works in I-convergence sense.
Photis Nanopoulos (1997)
Qüestiió
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Confidentiality and data protection are the counterparts of the obligation for response and the cornerstone for confidence building between the national statistical services and the respondents. On this common principle the various national statistical systems among the 15 (and other) European states have been established. There is great concern at national and international level on statistical confidentiality. The respect of privacy has led national authorities to develop...