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Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators

Cilt: 2 Sayı: 1 1 Temmuz 2017
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Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators

Öz

In this paper, we introduce the concept of statistically relatively A-summability. Based upon this definition and A-statistically relatively uniform convergence for double sequences of functions, we prove a Korovkin-type approximation theorem and give a strong example. Also, we study the rates of statistical relatively A−summability of positive linear operators.

Anahtar Kelimeler

Kaynakça

  1. F. Altomare and M. Campiti, Korovkin Type Approximation Theory and Its Application, Walter de Gruyter Publ., Berlin (1994)
  2. 2. Anastassiou, G. A. and Duman, O., A Baskakov type generalization of statistical Korovkin theory. J. Math. Anal. Appl. 340, 476-486 (2008)
  3. 3. Anastassiou, G. A. and Duman, O., Statistical fuzzy approximation by fuzzy positive linear operators. Compt. Math. Appl. 55, 573-580, (2008)
  4. 4. E. W. Chittenden, Relatively uniform convergence of sequences of functions, Transactions of the AMS, 15, 197-201 (1914)
  5. 5. E. W. Chittenden, On the limit functions of sequences of continuous functions converging relatively uniformly, Transactions of the AMS, 20, 179-184 (1919)
  6. 6. E. W. Chittenden, Relatively uniform convergence and classi cation of functions, Transactions of the AMS, 23, 1-15, (1922)
  7. 7. F. Dirik and K. Demirci, Korovkin Type Approximation Theorem for Functions of Two Variables in Statistical Sense, Turk J. Math. 34, 73-83, (2010)
  8. 8. Hamilton, H. J., Transformations of multiple sequences, Duke Math. J. 2, 29-60 (1936)

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Fadime Dirik
SİNOP ÜNİVERSİTESİ
Türkiye

Pınar Okçu Şahin Bu kişi benim
SİNOP ÜNİVERSİTESİ

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

24 Ekim 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 2 Sayı: 1

Kaynak Göster

APA
Dirik, F., & Okçu Şahin, P. (2017). Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators. Sinop Üniversitesi Fen Bilimleri Dergisi, 2(1), 59-66. https://izlik.org/JA68ND53PB
AMA
1.Dirik F, Okçu Şahin P. Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators. Sinopfbd. 2017;2(1):59-66. https://izlik.org/JA68ND53PB
Chicago
Dirik, Fadime, ve Pınar Okçu Şahin. 2017. “Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators”. Sinop Üniversitesi Fen Bilimleri Dergisi 2 (1): 59-66. https://izlik.org/JA68ND53PB.
EndNote
Dirik F, Okçu Şahin P (01 Temmuz 2017) Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators. Sinop Üniversitesi Fen Bilimleri Dergisi 2 1 59–66.
IEEE
[1]F. Dirik ve P. Okçu Şahin, “Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators”, Sinopfbd, c. 2, sy 1, ss. 59–66, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA68ND53PB
ISNAD
Dirik, Fadime - Okçu Şahin, Pınar. “Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators”. Sinop Üniversitesi Fen Bilimleri Dergisi 2/1 (01 Temmuz 2017): 59-66. https://izlik.org/JA68ND53PB.
JAMA
1.Dirik F, Okçu Şahin P. Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators. Sinopfbd. 2017;2:59–66.
MLA
Dirik, Fadime, ve Pınar Okçu Şahin. “Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators”. Sinop Üniversitesi Fen Bilimleri Dergisi, c. 2, sy 1, Temmuz 2017, ss. 59-66, https://izlik.org/JA68ND53PB.
Vancouver
1.Fadime Dirik, Pınar Okçu Şahin. Statistically Relatively A−summability of Convergence of Double Sequences of Positive Linear Operators. Sinopfbd [Internet]. 01 Temmuz 2017;2(1):59-66. Erişim adresi: https://izlik.org/JA68ND53PB


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