Results 21 to 30 of about 3,785,525 (200)

A New Type of Statistical Cauchy Sequence and Its Relation to Bourbaki Completeness

Cogent Mathematics & Statistics, 2018
Bourbaki complete metric spaces are important since they are a class between compact metric spaces and complete metric spaces. The aim of the present paper is to introduce the statistical Bourbaki–Cauchy sequence as a new concept and to give an ...
Emrah Evren Kara, Hari Mohan Srivastava, Merve İlkhan   +2 more
exaly   +2 more sources

\(\mathcal{I}\)-STATISTICAL CONVERGENCE OF COMPLEX UNCERTAIN SEQUENCES IN MEASURE

Ural Mathematical Journal
The main aim of this paper is to present and explore some of properties of the concept of \(\mathcal{I}\)-statistical convergence in measure of complex uncertain sequences.
Amit Halder, Shyamal Debnath
doaj   +2 more sources

Statistical Convergence Sequences in Neutrosophic Metric Spaces [PDF]

Neutrosophic Sets and Systems
In this study, motivated by the notion of statistical convergence in intuitionistic fuzzy metric space, we present the ideas of statistical convergence and cauchy sequences with regard to the neutrosophic metric spaces.
J. Johnsy , M. Jeyaraman
doaj   +2 more sources

Diagonal Window Tests for Deferred Weighted Frequent Cauchy Sequences and Mean Coherence

Journal of Mathematics
This paper studies when a diagonal pairwise sampling condition of pre-Cauchy type can be upgraded to a genuine convergence criterion in the deferred weighted setting.
Ameni Gargouri, Mehmet Gürdal, Ömer Kişi, Abdelwaheb Mhemdi   +3 more
doaj   +2 more sources

Lacunary statistical delta 2 quasi Cauchy sequences

, 2017
Bu makalede istatistiksel bosluklu d 2 -quasi-Cauchy dizisi kavrami tanimlanmis ve arastirilmistir. Bu arastirmada istatistiksel bosluklu d 2 -sureklilik ile ilgili ilgi cekici teoremler ispatlanmistir.
Ş. Yıldız
semanticscholar   +3 more sources

Bessel statistical convergence: New concepts and applications in sequence theory. [PDF]

PLoS ONE
This research introduces novel concepts in sequence theory, including Bessel convergence, Bessel boundedness, Bessel statistical convergence, and Bessel statistical Cauchy sequences.
Ibrahim S Ibrahim, Majeed A Yousif, Pshtiwan Othman Mohammed, Dumitru Baleanu, Ahmad Zeeshan, Mohamed Abdelwahed   +5 more
doaj   +2 more sources

On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence.
Shyamal Debnath, Santonu Debnath, Chiranjib Choudhury   +2 more
doaj   +1 more source

Cauchy-Schwartz Functionals [PDF]

, 2000
We treat a class of functionals which satisfy the Cauchy–Schwarz inequality. This appears to be a natural unifying concept and subsumes inter alia isotonic linear functionals and sublinear positive isotonic functionals.
Pearce, Charles, Dragomir, Sever S, Cho, Yeol Je   +2 more
core   +6 more sources

On Statistical Convergence of Order α in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems, 2023
In this paper, we introduce the notion of statistical convergent of order α in the neutrosophic normed spaces. We investigate a few properties of the newly introduced notion and examine the relationship with statistical convergence in the neutrosophic ...
Shyamal Debnath, Bijoy Das, Santonu Debnath, Chiranjib Choudhury   +3 more
doaj   +1 more source

Generalized Statistical Convergence of Double Sequences in Paranormed Spaces [PDF]

International Journal of Analysis and Applications, 2019
We introduce the notion of (λ, µ)-statistical convergence of double sequences in a setting of paranormed space and prove that every convergent sequence is (λ, µ)-statistically convergent but not conversely by supporting an illustrative example.
Abdullah Alotaibi, Alaa Mohammed Aljahili, S.A. Mohiuddine   +2 more
doaj   +3 more sources