Results 31 to 40 of about 3,646,213 (202)
Convexity Theorems for Riesz Means
Tokyo Journal of Mathematics, 1991 In a previous note [Mem. Def. Acad. 5, 335--340 (1966; Zbl 0178.05801)], M. Riesz's classical convexity theorem was given a new generalization by the author. We refer to its review quotation (there, \(A^ k(x)\) denotes a Riesz \textit{sum} rather than mean). Theorem II of the present paper improves upon the former result in that the review's condition (
openaire +2 more sources
Fourth-Order Compact Difference Schemes for the Riemann-Liouville and Riesz Derivatives
Abstract and Applied Analysis, 2014 We propose two new compact difference schemes for numerical approximation of the Riemann-Liouville and Riesz derivatives, respectively. It is shown that these formulas have fourth-order convergence order by means of the Fourier transform method. Finally,
Yuxin Zhang, Hengfei Ding, Jincai Luo
doaj +1 more source
Anti-periodic boundary value problems with Riesz–Caputo derivative
Advances in Difference Equations, 2019 This paper is concerned with a class of anti-periodic boundary value problems for fractional differential equations with the Riesz–Caputo derivative, which can reflected both the past and the future nonlocal memory effects.
Fulai Chen, Anping Chen, Xia Wu
doaj +1 more source
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 $\operatorname{Re}z> (n-1)(1/p-1/2).$
openaire +2 more sources
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Localization theorem of Bochner-Riesz means of multiple Fourier series [PDF]
, 1987 In this note we show that Bochner-Riesz means of order δ with 0 ...
コジマ, ミチタカ +4 more
core +1 more source
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
wiley +1 more source
Divergence conditions for Riesz means of Rademacher functions
, 2020 Some of the divergence conditions for Riesz means of Rademacher functions have been determined. A condition was provided as a criterion for at least one diverging sequence to be summable by the Riesz method.
Kalyabin G.A.
core +2 more sources
On Elliott's conjecture and applications
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman +2 more
wiley +1 more source
Approximation by Riesz means on the rotation group SO(3)
, 2017 This paper deals with the approximation properties of Riesz means in [Formula: see text]. The convergence rate of the Riesz means is obtained. The equivalence of Riesz means and the Peetre [Formula: see text]-functional on the rotation group [Formula ...
Luoqing Li, Zhuyuan Yang
core +1 more source