Results 31 to 40 of about 123 (95)
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.We investigate the convergence and approximation properties of Cesàro means of Walsh‐type Fourier series for functions belonging to classes of weighted bounded variation. Working within the dyadic and 2‐adic framework, we establish new sufficient conditions under which Cesàro means exhibit improved stability and convergence behavior compared with ...
Anteneh Tilahun Adimasu, Shikha Binwal
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Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang +4 more
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On multiplicative recurrence along linear patterns
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Donoso, Le, Moreira, and Sun (J. Anal. Math. 149 (2023), 719–761) study sets of recurrence for actions of the multiplicative semigroup (N,×)$(\mathbb {N}, \times)$ and provide some sufficient conditions for sets of the form S={(an+b)/(cn+d):n∈N}$S=\lbrace (an+b)/(cn+d) \colon n \in \mathbb {N}\rbrace $ to be sets of recurrence for such actions.
Dimitrios Charamaras +2 more
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Local spectral theory for subordinated operators: The Cesàro operator and beyond
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract We study local spectral properties for subordinated operators arising from C0$C_0$‐semigroups. Specifically, if T=(Tt)t⩾0$\mathcal {T}=(T_t)_{t\geqslant 0}$ is a C0$C_0$‐semigroup acting boundedly on a complex Banach space and Hν=∫0∞Ttdν(t)$$\begin{equation*} \mathcal {H}_\nu = \int _{0}^{\infty } T_t\; d\nu (t) \end{equation*}$$is the ...
Eva A. Gallardo‐Gutiérrez +1 more
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On Absolute Summability by Riesz and Generalized Cesàro Means. I
, 1970 1. The Cesàro methods for ordinary [9, p. 17; 6, p. 96] and for absolute [9, p. 25] summation of infinite series can be generalized by the Riesz methods [7, p. 21; 12; 9, p. 52; 6, p. 86; 5, p.
H.-H. Körle
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On Absolute q-Cesàro Summability Methods for Double Sequences
MathematicsIn the present paper, a novel absolute summability method, denoted by |Cq,θ|s, is introduced for double sequences via the q-Cesàro matrix. The study also focuses on determining the necessary and sufficient conditions for various inclusion relations, as ...
Fadime Gökçe
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Regularity and asymptotics of densities of inverse subordinators
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.Abstract In this article, densities (and their derivatives) of subordinators and inverse subordinators are considered. Under minor restrictions, generally milder than the existing in the literature, employing a useful modification of the saddle point method, we obtain the large asymptotic behaviour of these densities (and their derivatives) for a ...
Giacomo Ascione +2 more
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On noncommutative distributional Khintchine type inequalities
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
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Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 221-283, January 2024.Abstract Koopman operators are infinite‐dimensional operators that globally linearize nonlinear dynamical systems, making their spectral information valuable for understanding dynamics. However, Koopman operators can have continuous spectra and infinite‐dimensional invariant subspaces, making computing their spectral information a considerable ...
Matthew J. Colbrook, Alex Townsend
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Absolute Cesàro Series Spaces and Matrix Operators
, 2017 In this paper we derive a series space | C? , µ| k using the well known absolute Cesàro summability | C? , µ| k of Das (Proc. Camb. Philol. Soc. 67:321–326, 1970), compute its ß-dual, give some algebraic and topological properties, and characterize some ...
M. Ali Sarıgöl +3 more
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