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f ( λ , μ ) $f_{(\lambda,\mu)}$ -statistical convergence of order α̃ for double sequences [PDF]

Journal of Inequalities and Applications, 2017
New concepts of f λ , μ $f_{\lambda,\mu }$ -statistical convergence for double sequences of order α̃ and strong f λ , μ $f_{\lambda,\mu }$ -Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers ...
Mahmut Işik, Yavuz Altin
doaj   +2 more sources

Double Sequences and Selections [PDF]

Abstract and Applied Analysis, 2012
We present some results about selection properties in the class of double sequences of real numbers.
Dragan Djurčić, Ljubiša D. R. Kočinac, Mališa R. Žižović   +2 more
doaj   +5 more sources

Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces.
Ömer Kişi, Erdinç Dündar
doaj   +2 more sources

Generalized double sequences

Journal of Numerical Analysis and Approximation Theory, 1987
Not available.
Gh. Toader
doaj   +4 more sources

The Cesáro Core of Double Sequences [PDF]

Abstract and Applied Analysis, 2011
We have characterized a new type of core for double sequences, 𝑃𝐶-core, and determined the necessary and sufficient conditions on a four-dimensional matrix 𝐴 to yield 𝑃𝐶-core{𝐴𝑥}⊆𝛼(𝑃-core{𝑥}) for all ℓ∞2.
Kuddusi Kayaduman, Celal Çakan
doaj   +2 more sources

Double sequence core theorems [PDF]

International Journal of Mathematics and Mathematical Sciences, 1999
In 1900, Pringsheim gave a definition of the convergence of double sequences. In this paper, that notion is extended by presenting definitions for the limit inferior and limit superior of double sequences.
Richard F. Patterson
doaj   +3 more sources

Double sequences with ideal convergence in fuzzy metric spaces

AIMS Mathematics, 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 sequence in
Aykut Or
doaj   +1 more source

Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

Journal of New Theory, 2023
Statistical convergence has been a prominent research area in mathematics since this concept was independently introduced by Fast and Steinhaus in 1951.
Sevcan Bulut, Gökay Karabacak, Aykut Or, Ahmet Özcan   +3 more
doaj   +1 more source

Almost and Strongly Almost B(r ̃,s ̃,t ̃,u ̃)- Summable Double Sequences

Eurasian Journal of Science and Engineering, 2021
In this paper, we define some new almost and strongly almost convergent double sequence spaces B ̃(C_f), B ̃(C_f0), B ̃[C_f] and B ̃[C_f0] derived by the domain of four-dimensional sequential band matrix B(r ̃,s ̃,t ̃,u ̃) in the spaces C_f, C_f0 , [C_f]
Orhan Tuğ
doaj   +1 more source

On Modulated Lacunary Statistical Convergence of Double Sequences

Mathematics, 2023
In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence and strong Cesàro convergence, modulated by a function f (called a modulus function).
María del Pilar Romero de la Rosa
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