Arithmetic statistically convergent on neutrosophic normed spaces

Authors : Nazmiye GÖNÜL BİLGİN

Pages : 270-280

Doi:10.17714/gumusfenbil.1180772

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Publication Date : 2023-04-15

Article Type : Research Paper

Abstract :This work is concerned with several important different types of convergence that will be described on neutrosophic normed spaces. In the study, arithmetic convergence was combined with different types of statistical convergence and then integrated into the structure of neutrosophic spaces established through the membership function. For this purpose, in the neutrosophic normed space, firstly, the concepts of arithmetic convergence and arithmetic statistical convergence are given, then some important definitions that can be established with lacunary sequences and ideal structures and some relationships between convergent sequences in this sense are examined. Furthermore, new convergence definitions were established by evaluating lambda sequences together with arithmetic convergence and statistical convergence with the help of neutrosophic normed space structure properties. Finally, with the help of the definition of graduated convergence, the inclusion relation between the two set is given.
Keywords : Aritmetik istatistiksel yakınsaklık, İdealler, Nötrosofik normlu uzaylar