Results 101 to 110 of about 1,445 (159)

Statistical weighted A-summability with application to Korovkin’s type approximation theorem

open access: yesJournal of Inequalities and Applications, 2016
We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be ...
Syed Abdul Mohiuddine
doaj   +1 more source

Korovkin-type theorems and applications

open access: yesOpen Mathematics, 2009
Abstract Let {T n} be a sequence of linear operators on C[0,1], satisfying that {T n (e i)} converge in C[0,1] (not necessarily to e i) for i = 0,1,2, where e i = t i.
openaire   +4 more sources

Two Korovkin-type theorems in multivariate approximation

open access: yesBanach Journal of Mathematical Analysis, 2008
Two Korovkin-type theorems [\textit{F. Altomare} and \textit{M. Campiti}, Korovkin-type Approximation Theory and its applications. de Gruyter Studies in Mathematics. 17. (Berlin): Walter de Gruyter. (1994; Zbl 0924.41001)] in multivariate approximation in which the limit of the sequence of operators is not necessarily the identity have been proved. One
Guessab, Allal, Schmeisser, Gerhard
openaire   +3 more sources

On theorems of Korovkin, II

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1965
Nakamoto, Ritsuo, Nakamura, Masahiro
openaire   +3 more sources

On theorems of Korovkin

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1963
Choda, Hisashi, Echigo, Marie
openaire   +2 more sources

Qualitative Korovkin-Type Theorems for R-Convergence

open access: yesJournal of Approximation Theory, 1995
The author studies complex sequences of linear operators which are ``almost positive'' ouside sets of small Jordan measure. For them Korovkin-type theorems in terms of a modification of the \(R\)-convergence are proved. In this conclusion the author gives an interesting application of obtained results.
openaire   +1 more source

A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials

open access: yesMathematics
This research work introduces a connection of adjoint Bernoulli’s polynomials and a gamma function as a sequence of linear positive operators. Further, the convergence properties of these sequences of operators are investigated in various functional ...
Nadeem Rao, Mohammad Farid, Rehan Ali
doaj   +1 more source

On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations

open access: yesJournal of Inequalities and Applications
This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations.
Jun-Jie Quan   +4 more
doaj   +1 more source

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