Journal ArticleDOI
Almost strongly orlicz double sequence spaces of regular matrices and their applications to statistical convergence
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In this article, the authors introduced and studied strongly almost convergent double sequence spaces by Riesz mean associated with a four-dimensional bounded regular matrix and a Musielak-Orlicz function.Abstract:
In this paper, we introduce and study some strongly almost convergent double sequence spaces by Riesz mean associated with four-dimensional bounded regular matrix and a Musielak–Orlicz function ove...read more
Citations
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Deferred Cesàro and deferred Euler equi-statistical convergence and its applications to Korovkin-type approximation theorem
TL;DR: In this article, the authors emphasises on equi-statistical convergence, pointwise statistical convergence and uniform statistical convergence for a sequence of real-valued functions by using deferred Cesaro functions.
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Relative modular uniform approximation by means of the power series method with applications
Kuldip Raj,Anu Choudhary +1 more
TL;DR: In this article, the notion of relative convergence by means of a four dimensional matrix in the sense of the power series method, which includes Abel's as well as Borel's methods, was introduced.
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Applications of Tauberian theorem in Orlicz spaces of double difference sequences of fuzzy numbers
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Seminormed double sequence spaces of four-dimensional matrix and Musielak-Orlicz function.
TL;DR: This paper studies seminormed double sequence spaces of a four-dimensional matrix and Musielak–Orlicz function over n-normed spaces and explores some interesting inclusion relations, algebraic and topological properties of these spaces.
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Compact operators on spaces of binomial fractional difference sequences
TL;DR: In this article, the authors obtained necessary and sufficient conditions for some classes of compact operators on the normalized norm of matrix operators in the binomial fractional difference sequence space by employing the Hausdorff measure of non-compactness.
References
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Journal ArticleDOI
On Certain Sequence Spaces
TL;DR: In this paper, the authors define the spaces l ∞(Δ), c( Δ), and c0(δ) for mapping a matrix A to a matrix C ∞ (Δ) and determine necessary and sufficient conditions for a matrix c ∞ or c( Δ) to map A to map l∞ or C into l ∆ or c, and investigate related questions.
Journal ArticleDOI
On orlicz sequence spaces
Joram Lindenstrauss,L. Tzafriri +1 more
TL;DR: In this article, it was proved that every Orlicz sequence space contains a subspace isomorphic to SOMELP p ≥ 0.1 and the question of uniqueness of symmetric bases in ORCLS is investigated.
Journal ArticleDOI
Lacunary statistical convergence.
J. A. Fridy,Cihan Orhan +1 more
TL;DR: In this paper, a related concept of convergence in which the set {k: k < n] is replaced by {k r-\ < k < k r}, for some lacunary sequence {kr} is studied.
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