Some Weighted Equi-Statistical Convergence and Korovkin Type-Theorem

被引：43

作者：

Braha, Naim L. ^{[1
]}

机构：

[1] Univ Prishtina, Dept Math & Comp Sci, Ave Mother Teresa 5, Prishtine 10000, Kosovo

来源：

RESULTS IN MATHEMATICS | 2016年 / 70卷 / 3-4期

关键词：

Weighted equi-statistical convergence; Korovkin type theorem; rate of convergence; Voronovskaya type theorem; SUMMABILITY;

D O I：

10.1007/s00025-016-0578-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will show a new weighted equi-statistical convergence and based on this definition we will prove a kind of the Korovkin type theorems. Also we will show the rate of the convergence for this kind of weighted statistical convergence and Voronovskaya type theorem.

引用

页码：433 / 446

页数：14

共 15 条

[1]

Altomare F., 2010, Surv. Approx. Theory, V5, P92

[2]

[Anonymous], 2011, ANN U FERRARA SEZ 7, DOI DOI 10.1007/S11565-011-0122-8

[3] Statistical convergence and ideal convergence for sequences of functions [J].

Balcerzak, Marek ;

Dems, Katarzyna ;

Komisarski, Andrzej .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) :715-729

[4] Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems [J].

Braha, Naim L. ;

Loku, Valdete ;

Srivastava, H. M. .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 :675-686

[5] A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallee Poussin mean [J].

Braha, Naim L. ;

Srivastava, H. M. ;

Mohiuddine, S. A. .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 :162-169

[6] Korovkin type approximation theorems obtained through generalized statistical convergence [J].

Edely, Osama H. H. ;

Mohiuddine, S. A. ;

Noman, Abdullah K. .

APPLIED MATHEMATICS LETTERS, 2010, 23 (11) :1382-1387

[7]

FAST H., 1951, Colloq. Math., V2, P241

[8] Equi-statistical convergence of positive linear operators [J].

Karakus, Sevda ;

Demirci, Kamil ;

Duman, Oktay .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (02) :1065-1072

[9]

Korovkin P. P., 1953, Dokl. Akad. Nauk SSSR, V90, P961

[10]

Korovkin P. P., 1960, Linear Operators and Approximation Theory

← 1 2 →