Results 1 to 10 of about 5,621,799 (250)
Mathematics, 2023 In the current contribution, an appropriate quantity connected to the space of all convergent sequences is provided and shown to be a measure of noncompactness in a Banach space.
Ahmed Salem +2 more
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New Banach Sequence Spaces Defined by Jordan Totient Function
Communications in Advanced Mathematical Sciences, 2023 In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Uskan Devletli, Merve Ilkhan Kara
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Applications of uniform boundedness principle to matrix transformations
Karpatsʹkì Matematičnì Publìkacìï, 2023 Using the uniform boundedness principle of Maddox, we characterize matrix transformations from the space $(\ell_{p}) _{T}$ to the spaces $m(\phi )$ and $n(\phi )$ for the case $1\leq p\leq \infty$, which correspond to bounded linear operators.
M.A. Sarıgöl
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A unified view of low complexity regions (LCRs) across species
eLife, 2022 Low complexity regions (LCRs) play a role in a variety of important biological processes, yet we lack a unified view of their sequences, features, relationships, and functions.
Byron Lee +2 more
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Fractal and Fractional, 2021 In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem +2 more
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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 Spectrum Of Norlund Type Matrix Operator 𝐴 = (𝑎𝑛𝑘) On The Sequence Spaces ℓ1 And 𝑏𝑣
Eurasian Journal of Science and Engineering, 2023 In this article, we defined a Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) by 𝑎𝑛𝑘 = { 1 , 𝑘 = 𝑛 = 0 1 2 , 𝑛 − 1 ≤ 𝑘 ≤ 𝑛 0 , 𝑜𝑡ℎ𝑒𝑟𝑣𝑖𝑠𝑒 . Then we showed that the Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) is a linear and bounded operator on the sequence spaces ℓ1 and 𝑏𝑣 ...
Orhan Tug
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On the fine spectra of the generalized difference operator $\Delta_{uv}$ over the sequence space $c_0$ [PDF]
Journal of Mahani Mathematical Research, 2012 The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator $\Delta_{uv}$ over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator $\Delta_{uv}$ of
Javad Fathi, Rahmatollah Lashkaripour
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Solvability of an infinite system of integral equations on the real half-axis
Advances in Nonlinear Analysis, 2020 The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis ...
Banaś Józef, Woś Weronika
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Binomial difference sequence spaces of order m
Advances in Difference Equations, 2017 In this paper, we introduce the binomial sequence spaces b 0 r , s ( ∇ ( m ) ) $b^{r,s}_{0}(\nabla^{(m)})$ , b c r , s ( ∇ ( m ) ) $b^{r,s}_{c}(\nabla^{(m)})$ and b ∞ r , s ( ∇ ( m ) ) $b^{r,s}_{\infty}(\nabla^{(m)})$ by combining the binomial ...
Jian Meng, Meimei Song
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