Research Article

STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE

Volume: 2 Number: 1 January 30, 2019
EN

STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE

Abstract

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.

Keywords

References

  1. [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).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ergin Genç This is me
Türkiye

Publication Date

January 30, 2019

Submission Date

December 5, 2018

Acceptance Date

January 14, 2019

Published in Issue

Year 2019 Volume: 2 Number: 1

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
1.Konca Ş, Genç E. STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. JUM. 2019;2(1):1-7. doi:10.33773/jum.492367
Chicago
Konca, Şükran, and Ergin Genç. 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.
EndNote
Konca Ş, Genç E (January 1, 2019) STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. Journal of Universal Mathematics 2 1 1–7.
IEEE
[1]Ş. Konca and E. Genç, “STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE”, JUM, vol. 2, no. 1, pp. 1–7, Jan. 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 (January 1, 2019): 1-7. https://doi.org/10.33773/jum.492367.
JAMA
1.Konca Ş, Genç E. STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. JUM. 2019;2:1–7.
MLA
Konca, Şükran, and Ergin Genç. “STATISTICAL CONVERGENCE OF WEIGHT G IN A LOCALLY SOLID RIESZ SPACE”. Journal of Universal Mathematics, vol. 2, no. 1, Jan. 2019, pp. 1-7, doi:10.33773/jum.492367.
Vancouver
1.Şükran Konca, Ergin Genç. STATISTICAL CONVERGENCE OF WEIGHT g IN A LOCALLY SOLID RIESZ SPACE. JUM. 2019 Jan. 1;2(1):1-7. doi:10.33773/jum.492367