Results 1 to 10 of about 18 (18)

A variation of the class of statistical γ covers

Topological Algebra and its Applications, 2023
In this article, we introduce s-s-γ\gamma cover using the notion of star operator, which is an extension of the previous results on s-γ\gamma covers.
Bal Prasenjit, Rakshit Debjani
doaj   +1 more source

I-Statistical convergence in 2-normed space

Arab Journal of Mathematical Sciences, 2014
In this paper, we investigate the notion I-statistical convergence and I-statistical Cauchy sequence in 2-normed space, study of their relationship, and make some observations about these classes.
Ulaş Yamancı, Mehmet Gürdal
doaj   +1 more source

Ideal convergence generated by double summability methods

Demonstratio Mathematica, 2016
The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
doaj   +1 more source

Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers

Open Mathematics, 2017
In this paper, we prove that a bounded double sequence of fuzzy numbers which is statistically convergent is also statistically (C, 1, 1) summable to the same number. We construct an example that the converse of this statement is not true in general.
Önder Zerrin, Çanak İbrahim, Totur Ümit   +2 more
doaj   +1 more source

Invariant means and lacunary sequence spaces of order (α, β)

Demonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
doaj   +1 more source

On deferred f-statistical convergence for double sequences

Open Mathematics
In this article, we first put forward the concept of deferred f-double natural density for double sequences, where f is an unbounded modulus. Then, we combine f-density with deferred statistical convergence for double sequences and investigate deferred f-
Zhu Yahui, Shen Ang, Wang Zhongzhi, Peng Weicai   +3 more
doaj   +1 more source

ℐ-αβ-statistical relative uniform convergence for double sequences and its applications

Demonstratio Mathematica
This article introduces a novel concept of convergence, referred to as ℐ{\mathcal{ {\mathcal I} }}-αβ\alpha \beta -statistical relative uniform convergence, for double sequences of functions.
Bayram Nilay Sahin, Yıldız Sevda
doaj   +1 more source

On I-convergence of nets of functions in fuzzy metric spaces

Open Mathematics
In this paper, we introduce ideal versions of semi-α convergence, semi-exhaustiveness and semi uniform convergence of nets of functions between two fuzzy metric spaces, and obtain some properties of them.
Zhong Lingsheng, Xi Wenfei, Tang Zhongbao   +2 more
doaj   +1 more source

Approximation degree of Durrmeyer-Bézier type operators. [PDF]

J Inequal Appl, 2018
Agrawal PN, Araci S, Bohner M, Lipi K.
europepmc   +1 more source

Application of f-lacunary statistical convergence to approximation theorems. [PDF]

J Inequal Appl, 2018
Bhardwaj VK, Dhawan S.
europepmc   +1 more source