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In this paper, we study averaging operators from an algebraic and combinatorial point of view. We first construct free averaging algebras in terms of a class of bracketed words called averaging words. We next apply this construction to…

Rings and Algebras · Mathematics 2015-10-15 Li Guo , Jun Pei

In this paper, we consider convergence properties for generalized Schr\"{o}dinger operators along tangential curves in $\mathbb{R}^{n} \times \mathbb{R}$ with less smoothness comparing with Lipschitz condition. Firstly, we obtain sharp…

Classical Analysis and ODEs · Mathematics 2021-12-14 Wenjuan Li , Huiju Wang

The main aim of this paper is to prove a generalization of the classical Bohr theorem and as an application, we obtain a counterpart of Bohr theorem for the generalized Ces\'aro operator.

Complex Variables · Mathematics 2021-04-06 Ilgiz R Kayumov , Diana M. Khammatova , Saminathan Ponnusamy

In this note we study the application of generalized fractional operators to a particular class of nonstandard Lagrangians. These are typical of dissipative systems and the corresponding Euler-Lagrange and Hamilton equations are analyzed.…

Mathematical Physics · Physics 2015-05-19 Giorgio S. Taverna , Delfim F. M. Torres

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. We propose a wide class of recursive estimation procedures for the general…

Statistics Theory · Mathematics 2007-05-23 Teo Sharia

In this note we answer a question concerning lineability of the set of non-absolutely summing operators.

Functional Analysis · Mathematics 2009-05-19 G. Botelho , D. Diniz , D. Pellegrino , E. Teixeira

The detailed construction of the general solution of a second order non-homogenous linear operatordifference equation is presented. The wide applicability of such an equation as well as the usefulness of its resolutive formula is shown by…

Mathematical Physics · Physics 2008-04-18 M. A. Jivulescu , A. Napoli , A. Messina

This paper has a twofold purpose: to present an overview of the theory of absolutely summing operators and its different generalizations for the multilinear setting, and to sketch the beginning of a research project related to an objective…

Functional Analysis · Mathematics 2015-10-02 Daniel Pellegrino , Joedson Santos

Ab initio atomic relaxations often take large numbers of steps and long times to converge. An atomic relaxation method based on on-the-flight force learning and a corresponding new curved line minimization algorithm is presented to…

Materials Science · Physics 2017-09-27 Zhanghui Chen , Linwang Wang , Jingbo Li , Shushen Li

In this paper, we introduce a Stancu type generalization of the q-Favard-Szasz operators, estimate the rates of statistical convergence and study the local approximation properties of these operators.

Functional Analysis · Mathematics 2014-07-11 Ali Karaisa , Durhasan Turgut Tollu , Yasin Asar

In this paper we introduce an abstract approach to the notion of absolutely summing multilinear operators. We show that several previous results on different contexts (absolutely summing, almost summing, Cohen summing) are particular cases…

Functional Analysis · Mathematics 2013-05-28 Diana Marcela Serrano-Rodríguez

How does the amplitude of a wiggle on a string change when the string is stretched? We answer this question for both longitudinal and transverse wiggles and for arbitrary equation of state, {\it i.e.}, for arbitrary relation between the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jaewan Kim , Pierre Sikivie

In this paper we develop the generalised Schur theory offered in the recent paper by the second author in dimension one case, and apply it to obtain a new explicit parametrisation of torsion free rank one sheaves on projective irreducible…

Algebraic Geometry · Mathematics 2025-11-06 J. Guo , A. B. Zheglov

Motivated by recent results concerning the asymptotic behaviour of differential operators with highly contrasting coefficients, which have involved effective descriptions involving generalised resolvents, we construct the functional model…

Spectral Theory · Mathematics 2024-11-06 Kirill D. Cherednichenko , Yulia Yu. Ershova , Sergey N. Naboko

Recent work by several authors has revealed the existence of many unexpected classes of normal weighted composition operators. On the other hand, it is known that every normal operator is a complex symmetric operator. We therefore undertake…

Functional Analysis · Mathematics 2012-05-22 Stephan Ramon Garcia , Christopher Hammond

We provide a qualitative review of flux compactifications of string theory, focusing on broad physical implications and statistical methods of analysis.

High Energy Physics - Theory · Physics 2008-11-26 Frederik Denef , Michael R. Douglas , Shamit Kachru

Performing global resolvent analysis for high-Reynolds-number turbulent flow calls for the handling of a large discrete operator. Even though such large operator is required in the analysis, most applications of resolvent analysis extracts…

Fluid Dynamics · Physics 2020-03-25 Jean Hélder Marques Ribeiro , Chi-An Yeh , Kunihiko Taira

We provide a new estimator of integral operators with smooth kernels, obtained from a set of scattered and noisy impulse responses. The proposed approach relies on the formalism of smoothing in reproducing kernel Hilbert spaces and on the…

Information Theory · Computer Science 2017-12-04 Jérémie Bigot , Paul Escande , Pierre Weiss

An algebraic proof of the Gluing Theorem at tree level of perturbation theory in String Field Theory is given. Some applications of the theorem to closed string non-polynomial action are briefly discussed

High Energy Physics - Theory · Physics 2008-11-26 Abdulmajeed Abdurrahman , Jose Bordes , Cristobal Lara

The generalized word length pattern of an orthogonal array allows a ranking of orthogonal arrays in terms of the generalized minimum aberration criterion (Xu and Wu [Ann. Statist. 29 (2001) 1066-1077]). We provide a statistical…

Statistics Theory · Mathematics 2014-05-29 Ulrike Grömping , Hongquan Xu