A conjecture related to the approximation operators of binomial type.
Page 1 Next
Lupaş, Alexandru (1998)
General Mathematics
Căbulea, Lucia A., Todea, Mihaela (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
Michael Becker, Rolf J. Nessel (1978)
Mathematische Zeitschrift
Gumrah Uysal (2016)
Open Mathematics
In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: T λ ( f ; x , y ) = ∬ R 2 ( t − x , s − y , f ( t , s ) ) d s d t , ( x , y ) ∈ R 2 , λ ∈ Λ , where Λ is a set of non-negative numbers with accumulation point λ0.
I. B. Lazarević (1973)
Matematički Vesnik
Ivan Kopeček (1983)
Archivum Mathematicum
Pop, Ovidiu T., Farcas, Mircea (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Carlo Bardaro, Antonio Boccuto, Xenofon Dimitriou, Ilaria Mantellini (2013)
Open Mathematics
We prove some versions of abstract Korovkin-type theorems in modular function spaces, with respect to filter convergence for linear positive operators, by considering several kinds of test functions. We give some results with respect to an axiomatic convergence, including almost convergence. An extension to non positive operators is also studied. Finally, we give some examples and applications to moment and bivariate Kantorovich-type operators, showing that our results are proper extensions of the...
Min, Guohua (1992)
International Journal of Mathematics and Mathematical Sciences
Karol Dziedziul (2002)
Applicationes Mathematicae
An approximation error and an asymptotic formula are given for shift invariant operators of polynomial order ϱ. Density estimators based on shift invariant operators are introduced and AMISE is calculated.
T. Ando, Takashi Sekiguchi, T. Suzuki (1973)
Mathematische Zeitschrift
Piotr Bugiel (1996)
Mathematische Zeitschrift
Q. Razi (1989)
Matematički Vesnik
Pop, Ovidiu T., Farcas, Mircea (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Pop, Ovidiu T. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
João Prolla (1992)
Studia Mathematica
In this paper we study the approximation of continuous functions F, defined on a compact Hausdorff space S, whose values F(t), for each t in S, are convex subsets of a normed space E. Both quantitative estimates (in the Hausdorff semimetric) and Bohman-Korovkin type approximation theorems for sequences of monotone operators are obtained.
George C. Kyriazis (1995)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Agratini, Octavian (1998)
Mathematica Pannonica
Ilija Lazarević, Alexandru Lupas (1975)
Publications de l'Institut Mathématique
A. Lupas, I. Lazarevic (1975)
Publications de l'Institut Mathématique [Elektronische Ressource]
Page 1 Next