Araştırma Makalesi
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STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE

Yıl 2019, , 1 - 7, 30.01.2019
https://doi.org/10.33773/jum.492367

Öz

In this work, we introduce the notions of statistical convergence

and lacunary statistical convergence of weight g in a locally solid Riesz space

and establish some inclusion relations.

Kaynakça

  • [1] F. Riesz, Sur la decomposition des operations fonctionnelles lineaires, In Atti del CongressoInternazionale dei Matematici: Bologna del 3 al 10 de settembre di 1928, pp. 143-148 (1929).[2] H. Freudenthal, Teilweise geordnete Moduln, K. Akademie van Wetenschappen, AfdeelingNatuurkunde, Proceedings of the Section of Sciences, 39, 647{657 (1936).[3] L. V. Kantorovich, Concerning the general theory of operations in partially ordered spaces,Dok. Akad. Nauk. SSSR 1, 271-274 (1936).[4] C. D. Aliprantis, O. Burkinshaw, Locally solid Riesz spaces with applications to economics,American Mathematical Society, Second Edition, USA, 105, (2003).[5] L. V. Kantorovich, Lineare halbgeordnete Raume, Recueil Mathmatique, 2(44), 121-168(1937).[6] W. A. J. Luxemburg and A. C. Zaanen, Riesz spaces, American Elsevier Publishing Company,New York, (1971).[7] A. C. Zannen, Introduction to Operator Theory in Riesz Spaces, Springer-Verlag, (1997).[8] H. Albayrak and S. Pehlivan, Statistical convergence and statistical continuity on locally solidRiesz spaces, Topology and its Applications, 159(7), 1887-1893 (2012).[9] M. Balcerzak, P. Das, M. Filipczak and J. Swaczyna Generalized kinds of density and theassociated ideals, Acta Mathematica Hungarica, 147(1), 97-115 (2015).[10] B. Hazarika, S. A. Mohiuddine and M. Mursaleen. Some inclusion results for lacunary sta-tistical convergence in locally solid Riesz spaces, Iranian Journal of Science and Technology,38(A1), 61-68 (2014).[11] R. Colak and C. A. Bektas. lambda-statistical convergence of order alpha, Acta Mathematica Scientia31(3), 953-959 (2011).
Yıl 2019, , 1 - 7, 30.01.2019
https://doi.org/10.33773/jum.492367

Öz

Kaynakça

  • [1] F. Riesz, Sur la decomposition des operations fonctionnelles lineaires, In Atti del CongressoInternazionale dei Matematici: Bologna del 3 al 10 de settembre di 1928, pp. 143-148 (1929).[2] H. Freudenthal, Teilweise geordnete Moduln, K. Akademie van Wetenschappen, AfdeelingNatuurkunde, Proceedings of the Section of Sciences, 39, 647{657 (1936).[3] L. V. Kantorovich, Concerning the general theory of operations in partially ordered spaces,Dok. Akad. Nauk. SSSR 1, 271-274 (1936).[4] C. D. Aliprantis, O. Burkinshaw, Locally solid Riesz spaces with applications to economics,American Mathematical Society, Second Edition, USA, 105, (2003).[5] L. V. Kantorovich, Lineare halbgeordnete Raume, Recueil Mathmatique, 2(44), 121-168(1937).[6] W. A. J. Luxemburg and A. C. Zaanen, Riesz spaces, American Elsevier Publishing Company,New York, (1971).[7] A. C. Zannen, Introduction to Operator Theory in Riesz Spaces, Springer-Verlag, (1997).[8] H. Albayrak and S. Pehlivan, Statistical convergence and statistical continuity on locally solidRiesz spaces, Topology and its Applications, 159(7), 1887-1893 (2012).[9] M. Balcerzak, P. Das, M. Filipczak and J. Swaczyna Generalized kinds of density and theassociated ideals, Acta Mathematica Hungarica, 147(1), 97-115 (2015).[10] B. Hazarika, S. A. Mohiuddine and M. Mursaleen. Some inclusion results for lacunary sta-tistical convergence in locally solid Riesz spaces, Iranian Journal of Science and Technology,38(A1), 61-68 (2014).[11] R. Colak and C. A. Bektas. lambda-statistical convergence of order alpha, Acta Mathematica Scientia31(3), 953-959 (2011).
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Şükran Konca

Ergin Genç Bu kişi benim

Yayımlanma Tarihi 30 Ocak 2019
Gönderilme Tarihi 5 Aralık 2018
Kabul Tarihi 14 Ocak 2019
Yayımlandığı Sayı Yıl 2019

Kaynak Göster

APA Konca, Ş., & Genç, E. (2019). STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. Journal of Universal Mathematics, 2(1), 1-7. https://doi.org/10.33773/jum.492367
AMA Konca Ş, Genç E. STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. JUM. Ocak 2019;2(1):1-7. doi:10.33773/jum.492367
Chicago Konca, Şükran, ve Ergin Genç. “STATISTICAL CONVERGENCE OF WEIGHT G IN A LOCALLY SOLID RIESZ SPACE”. Journal of Universal Mathematics 2, sy. 1 (Ocak 2019): 1-7. https://doi.org/10.33773/jum.492367.
EndNote Konca Ş, Genç E (01 Ocak 2019) STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. Journal of Universal Mathematics 2 1 1–7.
IEEE Ş. Konca ve E. Genç, “STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE”, JUM, c. 2, sy. 1, ss. 1–7, 2019, doi: 10.33773/jum.492367.
ISNAD Konca, Şükran - Genç, Ergin. “STATISTICAL CONVERGENCE OF WEIGHT G IN A LOCALLY SOLID RIESZ SPACE”. Journal of Universal Mathematics 2/1 (Ocak 2019), 1-7. https://doi.org/10.33773/jum.492367.
JAMA Konca Ş, Genç E. STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. JUM. 2019;2:1–7.
MLA Konca, Şükran ve Ergin Genç. “STATISTICAL CONVERGENCE OF WEIGHT G IN A LOCALLY SOLID RIESZ SPACE”. Journal of Universal Mathematics, c. 2, sy. 1, 2019, ss. 1-7, doi:10.33773/jum.492367.
Vancouver Konca Ş, Genç E. STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. JUM. 2019;2(1):1-7.