Results 31 to 40 of about 3,558,379 (193)
Approximation of Functions belonging to Zygmund Class Associated with Hardy-Littlewood Series using Riesz Mean [PDF]
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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Convexity Theorems for Riesz Means
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 (
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Riesz Means on Locally Symmetric Spaces
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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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
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
The de Schipper formula and squares of Riesz spaces [PDF]
In this paper we introduce and study the square mean and the geometric mean in Riesz spaces. We prove that every geometric mean closed Riesz space is square mean closed and give a counterexample to the converse.
Boulabiara, Karim +2 more
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On Elliott's conjecture and applications
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
Proof Theory of Riesz Spaces and Modal Riesz Spaces [PDF]
International audienceWe design hypersequent calculus proof systems for the theories of Riesz spaces and modal Riesz spaces and prove the key theorems: soundness, completeness and cut elimination. These are then used to obtain completely syntactic proofs
Matteo Mio +3 more
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ABSTRACT Double/debiased machine learning (DML) uses for estimating an average treatment effect (ATE) a double‐robust score function that relies on the prediction of nuisance functions, such as the propensity score, which is the probability of treatment assignment given covariates.
Daniele Ballinari, Nora Bearth
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The Topological Riesz Algebras [PDF]
The multiplicative order convergence was studied and investigated on Riesz algebras. This paper deals with Riesz algebras and different topologies on them. In this paper, we investigate Riesz algebras on which we define various kinds of continuities.
Eroğlu, H.Ü. +2 more
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