Statistical Relatively Equal Convergence and Korovkin-Type Approximation Theorem

被引：7

作者：

Dirik, Fadime ^{[1
]}

Sahin, Pinar Okcu ^{[1
]}

机构：

[1] Sinop Univ, Fac Sci & Arts, Dept Math, TR-57000 Sinop, Turkey

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

关键词：

Statistical convergence; statistical relatively uniform convergence; Korovkin Theorem; modulus of continuity; UNIFORM-CONVERGENCE; IDEAL CONVERGENCE; SEQUENCES;

D O I：

10.1007/s00025-017-0706-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, we define a new type of statistical convergence by using the notion of the relatively uniform convergence. We prove a Korovkin-type approximation theorem with the help of this new definition. Then, we construct a strong example that satisfies our theory. Finally, we compute the rate of statistical relatively equal convergence.

引用

页码：1613 / 1621

页数：9

共 50 条

[1] Statistical Relatively Equal Convergence and Korovkin-Type Approximation Theorem
Fadime Dirik
Pınar Okçu Şahin
Results in Mathematics, 2017, 72 : 1613 - 1621
[2] Statistical Relative Equal Convergence Of Double Function Sequences And Korovkin-Type Approximation Theorem
Sahin, Pinar Okcu
Dirik, Fadime
APPLIED MATHEMATICS E-NOTES, 2019, 19 : 101 - 115
[3] Statistical Extension Of The Korovkin-Type Approximation Theorem
Demirci, Kamil
Dirik, Fadime
APPLIED MATHEMATICS E-NOTES, 2011, 11 : 101 - 109
[4] DEFERRED NORLUND STATISTICAL RELATIVE UNIFORM CONVERGENCE AND KOROVKIN-TYPE APPROXIMATION THEOREM
Demirci, Kamil
Dirik, Fadime
Yildiz, Sevda
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2021, 70 (01): : 279 - 289
[5] Korovkin-type approximation theorem for Bernstein operator of rough statistical convergence of triple sequences
Hazarika, Bipan
Subramanian, N.
Mursaleen, M.
ADVANCES IN OPERATOR THEORY, 2020, 5 (02) : 324 - 335
[6] Korovkin-type approximation theorem for Bernstein operator of rough statistical convergence of triple sequences
Bipan Hazarika
N. Subramanian
M. Mursaleen
Advances in Operator Theory, 2020, 5 : 324 - 335
[7] Statistical Deferred Norlund Summability and Korovkin-Type Approximation Theorem
Srivastava, Hari Mohan
Jena, Bidu Bhusan
Paikray, Susanta Kumar
MATHEMATICS, 2020, 8 (04)
[8] ON A KOROVKIN-TYPE THEOREM FOR SIMULTANEOUS APPROXIMATION
BADEA, C
JOURNAL OF APPROXIMATION THEORY, 1990, 62 (02) : 223 - 234
[9] Korovkin-type Approximation Theorem for Bernstein Stancu Operator of Rough Statistical Convergence of Triple Sequence
Esi, Ayten
Ozdemir, M. Kemal
Subramanian, Nagarajan
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (07): : 69 - 83
[10] PRODUCT OF STATISTICAL PROBABILITY CONVERGENCE AND ITS APPLICATIONS TO KOROVKIN-TYPE THEOREM
Jena, Bidu Bhusan
Paikray, Susanta Kumar
MISKOLC MATHEMATICAL NOTES, 2019, 20 (02) : 969 - 984

← 1 2 3 4 5 →