On the Riemann convergence of positive linear operators
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چکیده
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15 صفحه اولRates of A-statistical convergence of positive linear operators
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...
متن کاملWeighted A-Statistical Convergence for Sequences of Positive Linear Operators
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...
متن کاملOn the Rates of Convergence of Certain Bivariate Linear Positive Operators
In this paper, we present a sequence of linear positive bivariate operators and investigate the approximation properties of them. Next we study the rates of converge of this approximation by means modulus of continuity and functions from Lipschitz class. After we give a Voronovskaya type theorem for n Morever, we give an r th order generalization of these operators. Finally, we investigate appr...
متن کاملOn some fuzzy positive and linear operators
The purpose of this work is to show that fuzzy Bernstein-Stancu operators introduced in [3] satisfy an A-statistical version of fuzzy Korovkin theorem. Some properties of these operators are also proved. An example of new fuzzy positive and linear operators is presented.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1989
ISSN: 0035-7596
DOI: 10.1216/rmj-1989-19-1-271