Ideal Convergence ofk-Positive Linear Operators
نویسندگان
چکیده
منابع مشابه
Equi-ideal convergence of positive linear operators for analytic p-ideals
In this paper, using equi-ideal convergence, we introduce a non-trivial generalization of the classical and the statistical cases of the Korovkin approximation theorem. We also compute the rates of equi-ideal convergence of sequences of positive linear operators. Furthermore, we obtain a Voronovskaya-type theorem in the equi-ideal sense for a sequence of positive linear operators constructed by...
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We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a rate of weighted A-statistical convergence and apply the classical Bernstein polynomial to construct an illustrative example in support of our...
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In the classical summability setting rates of summation have been introduced in several ways (see, e.g., [10], [21], [22]). The concept of statistical rates of convergence, for nonvanishing two null sequences, is studied in [13]. Unfortunately no single de...nition seems to have become the “standard” for the comparison of rates of summability transforms. The situation becomes even more uncharte...
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We consider a sequence of linear Dirichlet problems as follows
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In this paper we consider the question when an upward directed set of positive ideal-triangularizable operators on a Banach lattice is (simultaneously) ideal-triangularizable. We prove that a majorized upward directed set of ideal-triangularizable positive operators, which are compact or abstract integral operators is ideal-triangularizable. We also prove that a finite subset of an additive sem...
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ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2012
ISSN: 0972-6802,1758-4965
DOI: 10.1155/2012/178316