Representation of ideal convergence as a union and intersection of matrix summability methods
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DOI: 10.1016/j.jmaa.2019.123760
Abstract: Abstract We characterize ideals on N for which the ideal limit function is representable as an intersection (union resp.) of matrix summability methods. More specifically, we characterize ideals I for which there is a family… read more here.
Keywords: intersection; summability methods; matrix summability; union ... See more keywords
General Summability Methods in the Approximation by Bernstein–Chlodovsky Operators
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DOI: 10.1080/01630563.2021.1895831
Abstract: Abstract In this paper, by using regular summability methods we modify the Bernstein–Chlodovsky operators in order get more general and powerful results than the classical aspects. We study Korovkin-type approximation theory on weighted spaces. As… read more here.
Keywords: summability methods; chlodovsky operators; bernstein chlodovsky; approximation ... See more keywords
A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices
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DOI: 10.3390/math9161895
Abstract: In this study, we present a link between approximation theory and summability methods by constructing bivariate Bernstein-Kantorovich type operators on an extended domain with reparametrized knots. We use a statistical convergence type and power series… read more here.
Keywords: theory summability; summability; link approximation; summability methods ... See more keywords
On the summability methods of logarithmic type and the Berezin symbol
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DOI: 10.3906/mat-1803-37
Abstract: We prove by means of the Berezin symbols some theorems for the (L) -summability method for sequences and series. Also, we prove a new Tauberian type theorem for (L) -summability. read more here.
Keywords: type berezin; summability; methods logarithmic; summability methods ... See more keywords