Zobrazeno 1 - 10
of 1 638
pro vyhledávání: '"cauchy sequence"'
Autor:
Rahul Mondal, Nesar Hossain
Publikováno v:
Ural Mathematical Journal, Vol 10, Iss 1 (2024)
In this paper, we have studied the notion of statistical convergence for double sequences in neutrosophic 2-normed spaces. Also, we have defined statistically Cauchy double sequences and statistically completeness for double sequences and investigate
Externí odkaz:
https://doaj.org/article/834a54ca202f43e59f6feec639a8ac1c
Publikováno v:
Journal of Applied Science and Engineering, Vol 27, Iss 3, Pp 2227-2232 (2024)
In this study, we developed a novel idea known as the fuzzy soft b-metric, and investigated some fundamental aspects of fuzzy soft b-metric. Moreover, various topological features of this new space, such as fuzzy soft open ball, and fuzzy soft Hausdo
Externí odkaz:
https://doaj.org/article/a0c7143473604f7093594e126e61e510
Autor:
Hsien-Chung Wu
Publikováno v:
Mathematics, Vol 12, Iss 23, p 3660 (2024)
The family F(U) of all fuzzy sets in a normed space cannot be a vector space. This deficiency affects its application to practical problems. The topics of functional analysis and nonlinear analysis in mathematics are based on vector spaces. Since the
Externí odkaz:
https://doaj.org/article/7c4fffac5aae4b7c84b8ee7bb95cd9af
On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence
Autor:
Nimet Pancaroğlu Akın, Erdinç Dündar
Publikováno v:
Communications in Advanced Mathematical Sciences, Vol 6, Iss 4, Pp 188-195 (2023)
In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2$-conv
Externí odkaz:
https://doaj.org/article/496b7bcbc0c74c748659a291d678580f
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 6, Iss 4, Pp 155-161 (2023)
In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relatio
Externí odkaz:
https://doaj.org/article/eee65f35264049ea94a362e0b74ca1b1
Autor:
Aykut Or
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 28090-28104 (2023)
We show ideal convergence ($ I $-convergence), ideal Cauchy ($ I $-Cauchy) sequences, $ I^* $-convergence and $ I^* $-Cauchy sequences for double sequences in fuzzy metric spaces. We define the $ I $-limit and $ I $-cluster points of a double sequenc
Externí odkaz:
https://doaj.org/article/032aa3ad9b6e497e9ecadc4270d270b1
Autor:
Pradip Debnath
Publikováno v:
Axioms, Vol 13, Iss 8, p 557 (2024)
The concept of summability is crucial in deriving formal solutions to partial differential equations. This paper explores the connection between the methods of statistical convergence of sequences and statistical Cesàro summability in intuitionistic
Externí odkaz:
https://doaj.org/article/1834df4b27264664af52fe15d28fcee0
Autor:
Erdinç Dündar, Uğur Ulusu
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 6, Iss 2, Pp 86-90 (2023)
In this paper, firstly we introduced the concepts of rough $\mathcal{I}$-convergence, rough $\mathcal{I}^*$-convergence, rough $\mathcal{I}$-Cauchy sequence, and rough $\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenab
Externí odkaz:
https://doaj.org/article/f698ff569b14409384fe1d793338f4d8
Publikováno v:
Ratio Mathematica, Vol 51, Iss 0 (2024)
The main goal of this work is to present GF -metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗ -metric spaces and the
Externí odkaz:
https://doaj.org/article/33a851968bd241dba0a3c8d933dca394