Results 1 to 10 of about 66 (65)
A note on fractional difference operators
Alexandria Engineering Journal, 2018 In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator.
P. Baliarsingh, L. Nayak
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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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On the Domain of Nörlund Matrix in the Space of Bounded Variation Sequences [PDF]
Eurasian Journal of Science and Engineering, 2017 In this paper, we introduce a new sequence space bv(Nt) as the domain of Nörlund matrix Nt in the space of all sequences of bounded variation. Firstly, we give some topological properties and inclusion relations. Moreover, we determine the α-, β- and γ-
Orhan Tug
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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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On pointwise and uniform statistical convergence of order α for sequences of functions [PDF]
, 2013 In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order ? for sequences of real-valued functions. Furthermore, we give the concept of an ?-statistically Cauchy sequence for sequences of real-valued functions and
Çınar, Muhammed +2 more
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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
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On topological properties of spaces obtained by the double band matrix
Open Mathematics, 2017 Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
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Matrix mappings and norms on the absolute Cesàro and weighted spaces
, 2020 In this paper, for α > -1 and k ≥ 1, we characterize the classes of all infinite matrices (|Cα|k, |Nup|), (|Cα|, |Nup|k), (|Nup|k, |Cα|) and (|Nup|k, |Cα|k), where the absolute spaces |Cα|k and |Nup|k are defined by Sarıgöl [22 - 24].
Güleç, Güllü Canan Hazar +2 more
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Quadratic Approximation of Generalized Tribonacci Sequences
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the
Cerda-Morales Gamaliel
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q-Stirling sequence spaces associated with q-Bell numbers
Open MathematicsIn this study, we build qq-analog of the qq-Stirling matrix involved qq-Bell numbers Sq=(Snk(q)){{\mathbb{S}}}_{q}=({S}_{nk}\left(q)) defined by Sq=(Snk(q))=Sq(n,k)Bq(n),0≤k≤n,0,otherwise.\begin{array}{r}{{\mathbb{S}}}_{q}=({S}_{nk}\left(q))=\left ...
Atabey Koray Ibrahim +3 more
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