Results 1 to 10 of about 132 (64)
Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces
Scientific African, 2022 In this article, we introduce binomial double sequence space bk(α,β;γ,δ) (1≤k≤∞) and Orlicz-binomial double sequence space bφ(α,β;γ,δ), and obtain certain inclusion results related to these spaces.
Taja Yaying, Bipan Hazarika
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Fractional Cesàro Matrix and its Associated Sequence Space
Concrete Operators, 2021 In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert ...
Roopaei H., İlkhan M.
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A NEW STUDY ON ABSOLUTE CESÀRO SUMMABILITY FACTORS [PDF]
, 2021 In this paper, we have generalized a known theorem dealing with $\varphi-{\mid{C},\alpha,\mid}_k$ summability factors of infinite series to the $\varphi-{\mid{C},\alpha,\beta\mid}_k$ summability method under weaker conditions.
Bor, Huseyin
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Regular matrix methods of summability and real interpolation [PDF]
, 2021 We show that the Banach–Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin–
Kryczka, Andrzej, Kurlej, Konrad
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Bounds of operators on the Hilbert sequence space
Concrete Operators, 2020 The author has computed the bounds of the Hilbert operator on some sequence spaces [18, 19]. Through this study the author has investigated the bounds of operators on the Hilbert sequence space and the present study is a complement of those previous ...
Roopaei Hadi
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Quasi-nilpotency of generalized Volterra operators on sequence spaces
, 2021 We study the quasi-nilpotency of generalized Volterra operators on spaces of power series with Taylor coefficients in weighted $\ell^p$ spaces ...
Chalmoukis, Nikolaos +1 more
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ON DISCRETE WEIGHTED STATISTICAL CONVERGENCE [PDF]
, 2021 In the present paper, the notion of discrete weighted mean method of summability isextended the concept of statistical convergence. We also give the notion of statistical (M,P_{λ})-summability and [M,P_{λ}]_{q}-summability.
Altin, Yavuz, Colak, Rifat, Ercan, Sinan
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Distributional versions of Littlewood's Tauberian theorem [PDF]
, 2010 We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham +27 more
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Some new paranormed sequence spaces derived by q-second difference matrix [PDF]
, 2023 The goal of this research is to construct the extended versions of the original Maddox's paranormed sequence spaces, denoted by the notation l(del(2)(q), p) and l(infinity)(del(2)(q), p).
Demiriz, Serkan +1 more
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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 +2 more
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