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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
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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
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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 +3 more
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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
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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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The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 Let uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala +2 more
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The Hilbert Space of Double Fourier Coefficients for an Abstract Wiener Space
Mathematics, 2021 Fourier series is a well-established subject and widely applied in various fields. However, there is much less work on double Fourier coefficients in relation to spaces of general double sequences.
Jeong-Gyoo Kim
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Journal of Mathematical Sciences and Modelling, 2019 In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double
Selma Altundağ, Bayram Sözbir
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On I θ 2 $\mathcal{I}_{{\theta}_{2}}$ -convergence in fuzzy normed spaces
Journal of Inequalities and Applications, 2020 In this study, first, lacunary convergence of double sequences is introduced in fuzzy normed spaces, and basic definitions and theorems about lacunary convergence for double sequences are given in fuzzy normed spaces.
Muhammed Recai Türkmen
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Regularly ideal invariant convergence of double sequences
Journal of Inequalities and Applications, 2021 In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
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