Results 21 to 30 of about 863 (193)
A Theorem on Absolute Summability of Infinite Series
Cumhuriyet Science Journal, 2019 Inthis paper, a theorem on absolute summability of infinite series is obtained bytaking almost increasing sequence instead of positive non-decreasing sequence.Also, some results of absolute summability are given.
Bağdagül Kartal
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, 2022 Approximations of functions in the generalized Zygmund class associated with Fourier series have been studied by various researchers. In the present article, we have estimated the degree of approximation of functions of generalized Zygmund class ...
P. Padhy, B. +3 more
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Riesz means on symmetric spaces [PDF]
Journal of Mathematical Analysis and Applications, 2021 Let $X$ be a non-compact symmetric space of dimension $n$. We prove that if $f\in L^{p}(X)$, $1\leq p\leq 2$, then the Riesz means $S_{R}^{z}\left( f\right)$ converge to $f$ almost everywhere as $R\rightarrow \infty $, whenever $\operatorname{Re}z>\left( n-\frac{1}{2}\right) \left( \frac{2}{p}-1\right) $.
A. Fotiadis, E. Papageorgiou
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[l(p)](e.r) Euler-riesz difference sequence spaces
, 2021 Baar and Braha [1], introduced the sequence spaces l(infinity), C and C-0 of Euler- Cesaro bounded, convergent and null difference sequences and studied their somere properties.
Ellidokuzoğlu, Hacer Bilgin +1 more
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Mean-field limits of Riesz-type singular flows
, 2022 We provide a proof of mean-field convergence of first-order dissipative or conservative dynamics of particles with Riesz-type singular interaction (the model interaction is an inverse power $s$ of the distance for any ...
Rosenzweig, Matthew +2 more
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Arab Journal of Mathematical Sciences, 2014 In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations between the sequence space |N‾,pr,θ| with the ...
Metin Başarır, Şükran Konca
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Open Mathematics, 2020 In this article, we consider the Laplace-Bessel differential operatorΔBk,n=∑i=1k∂2∂xi2+γixi∂∂xi+∑i=k+1n∂2∂xi2,γ1>0,…,γk>0.{\Delta }_{{B}_{k,n}}=\mathop{\sum }\limits_{i=1}^{k}\left(\frac{{\partial }^{2}}{\partial {x}_{i}^{2}}+\frac{{\gamma }_{i}}{{x}_{i}}
Hasanov Javanshir J. +2 more
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Riesz Means on Locally Symmetric Spaces
Complex Analysis and Operator Theory, 2022 We prove that for a certain class of $n$ dimensional rank one locally symmetric spaces, if $f \in L^p$, $1\leq p \leq 2$, then the Riesz means of order $z$ of $f$ converge to $f$ almost everywhere, for $\operatorname{Re}z> (n-1)(1/p-1/2).$
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Fractional Schrödinger Equation in the Presence of the Linear Potential
Mathematics, 2016 In this paper, we consider the time-dependent Schrödinger equation: i ∂ ψ ( x , t ) ∂ t = 1 2 ( − Δ ) α 2 ψ ( x , t ) + V ( x ) ψ ( x , t ) , x ∈ R , t > 0 with the Riesz space-fractional derivative of order ...
André Liemert, Alwin Kienle
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Adversarial Estimation of Riesz Representers
, 2021 Many causal parameters are linear functionals of an underlying regression. The Riesz representer is a key component in the asymptotic variance of a semiparametrically estimated linear functional.
Syrgkanis, Vasilis +4 more
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