A NOTE ON CONVERGENCE THEOREMS FOR INTEGRALS

被引：0

作者：

Tunc, Tuncay ^{[1
]}

Erdem, Alper ^{[1
]}

机构：

[1] Mersin Univ, Dept Math, Ciftlikkoy Yerleskesi, TR-33110 Mersin, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2021年 / 22卷 / 02期

关键词：

statistically convergence; convergence theorems; Lebesgue integralibility; STATISTICAL CONVERGENCE;

D O I：

10.18514/MMN.2021.3414

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study we investigate the convergence theorems such as bounded convergence theorem, Fatou's lemma, monotone convergence theorem and dominated convergence theorem for measurable functions depending upon the concept of statistical convergence.

引用

页码：1001 / 1011

页数：11

共 26 条

[1] 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

[2] STATISTICAL CONVERGENCE OF FUNCTIONAL SEQUENCES [J].

Bilalov, B. T. ;

Nazarova, T. Y. .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2015, 45 (05) :1413-1423

[3] 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

[4]

Connor J.S., 1988, Analysis, V8, P47, DOI [10.1524/anly.1988.8.12.47, DOI 10.1524/ANLY.1988.8.12.47]

[5]

ERDOS P, 1989, P LOND MATH SOC, V59, P417

[6]

Fast Henry, 1951, Colloquium mathematicae, V2, P241

[7]

Fridy J.A., 1985, Analysis, V5, P301, DOI [10.1524/anly.1985.5.4.301, DOI 10.1524/ANLY.1985.5.4.301]

[8] Statistical limit superior and limit inferior [J].

Fridy, JA ;

Orhan, C .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (12) :3625-3631

[9] Some approximation theorems via statistical convergence [J].

Gadjiev, AD ;

Orhan, C .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2002, 32 (01) :129-138

[10] On various new concepts of statistical convergence for sequences of random variables via deferred Cesaro mean [J].

Jena, Bidu Bhusan ;

Paikray, Susanta Kumar ;

Dutta, Hemen .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 487 (01)

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