Quantitative results on almost convergence of a sequence 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...
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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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We introduce a one parameter family of hybrid operators and study quantitative convergence theorems for these operators e.g. local and weighted approximation results and simultaneous approximation of derivatives. Further, we discuss the statistical convergence of these operators. Lastly, we show the rate of convergence of these operators to a certain function by illustrative graphics in Matlab....
متن کاملApproximation Properties of a Sequence of Linear and Positive Operators
Abstract: In this paper we study the techniques of linear combinations starting from the studies made by H. Bohman (1952), P.L.Butzer (1953; [2]), ( P.P. Korovkin (1953); [11]), T. Popovici (1959; [13]), D.D. Stancu ([15]) respectively the results obtained by E. W. Cheney and A. Sharma [3], S. Eisenberg and B. Wood [16], M. Frenţiu [5], A. Lupaş [9], [10], R. Martini [12]. We define the linear ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1977
ISSN: 0021-9045
DOI: 10.1016/0021-9045(77)90058-2