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It has been some time since interval-valued linear regression was investigated. In this paper, we focus on linear regression for interval-valued data within the framework of random sets. The model we propose generalizes a series of existing…

Methodology · Statistics 2015-06-12 Yan Sun , Chunyang Li

Several methods of statistical analysis are proposed and analyzed in application for a specific task -- extraction of the structure functions from the cross sections of deep inelastic interactions of any type. We formulate the method based…

High Energy Physics - Phenomenology · Physics 2007-11-30 S. N. Sevbitov , T. V. Shishkina , I. L. Solovtsov

We consider various systematic ways of defining unbounded operator valued integrals of complex functions with respect to (mostly) positive operator measures and positive sesquilinear form measures, and investigate their relationships to…

Functional Analysis · Mathematics 2014-02-28 Daniel Dubin , Jukka Kiukas , Juha-Pekka Pellonpää , Kari Ylinen

In this paper, we establish new an inequality of weighted Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.

Classical Analysis and ODEs · Mathematics 2010-05-05 M. Z. Sarikaya , H. Ogunmez

This paper proposes a new framework for constructing interval-valued state estimators for discrete-time linear and switched linear systems. Our main results are (i) the derivation of the tightest interval-valued estimator for linear…

Systems and Control · Electrical Eng. & Systems 2022-05-18 Laurent Bako , Vincent Andrieu

The work is devoted to the construction of a new type of intervals -- functional intervals. These intervals are built on the idea of expanding boundaries from numbers to functions. Functional intervals have shown themselves to be promising…

Numerical Analysis · Mathematics 2022-10-27 Dmitry A. Skorik

Our purpose in this present paper is to investigate generalized integration formulas containing the extended generalized hypergeometric function and obtained results are expressed in terms of extended hypergeometric function. Certain…

Classical Analysis and ODEs · Mathematics 2017-06-08 G. Rahman , A. Ghaffar , K. S. Nisar , S. Mubeen

We establish complete characterizations of various notions of expansivity for weighted composition operators on a very general class of locally convex spaces of continuous functions. This class includes several classical classes of…

Dynamical Systems · Mathematics 2025-12-09 Nilson C. Bernardes , Antonio Bonilla , João V. A. Pinto

In this article, a theory of generalized oscillatory integrals (OIs) is developed whose phase functions as well as amplitudes may be generalized functions of Colombeau type. Based on this, generalized Fourier integral operators (FIOs)…

Analysis of PDEs · Mathematics 2007-05-23 Claudia Garetto , Guenther Hoermann , Michael Oberguggenberger

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

Optimization and Control · Mathematics 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

The purpose of this paper is to study sparse domination estimates of composition operators in the setting of complex function theory. The method originates from proofs of the $A_2$ theorem for Calder\'on-Zygmund operators in harmonic…

Complex Variables · Mathematics 2020-01-09 Bingyang Hu , Songxiao Li , Yecheng Shi , Brett D. Wick

In this paper we investigate polynomial interpolation using orthogonal polynomials. We use weight functions associated with orthogonal polynomials to define a weighted form of Lagrange interpolation. We introduce an upper bound of error…

Numerical Analysis · Mathematics 2019-10-23 Maha Youssef , Gerd Baumann

In this article, we investigate the boundedness properties of the multilinear dyadic paraproduct operators in the weighted setting. We also obtain weighted estimates for the multilinear Haar multipliers and their commutators with dyadic BMO…

Classical Analysis and ODEs · Mathematics 2015-12-16 Ishwari Kunwar

We study a Lax pair in a $2$-parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of $L$ and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Moreover,…

Classical Analysis and ODEs · Mathematics 2021-03-26 Wolter Groenevelt , Erik Koelink

We compare the behavior of different lattice Dirac operators in gauge backgrounds which are lattice discretizations of a classical instanton. In particular we analyze the standard Wilson operator, a chirally improved Dirac operator and the…

High Energy Physics - Lattice · Physics 2008-11-26 Christof Gattringer , Meinulf Göckeler , C. B. Lang , P. E. L. Rakow , Andreas Schäfer

This is a brief note on 'A better conditioned Domain Wall Operator', which provides a more detailed explanation of the domain wall-to-overlap transformation with the inclusion of the alpha parameter.

High Energy Physics - Lattice · Physics 2026-05-29 Hartmut Neff

We consider an integral operator $\mathcal{I}$, special instances of which was studied in various contexts. Using an appropriate transformation we write this operator in terms of weighted composition operators. Then, we provide a…

Complex Variables · Mathematics 2012-04-16 Epaminondas Diamantopoulos

A featured transition system is a transition system in which the transitions are annotated with feature expressions: Boolean expressions on a finite number of given features. Depending on its feature expression, each individual transition…

Formal Languages and Automata Theory · Computer Science 2017-02-28 Uli Fahrenberg , Axel Legay

We give different types of new characterizations for the boundedness and essential norms of generalized weighted composition operators between Zygmund type spaces. Consequently, we obtain new characterizations for the compactness of such…

Functional Analysis · Mathematics 2019-04-01 Mostafa Hassanlou , Amir H. Sanatpour

We discuss an application of the transfer operator approach to the analysis of the different spectral characteristics of 1d random band matrices (correlation functions of characteristic polynomials, density of states, spectral correlation…

Mathematical Physics · Physics 2019-05-22 Mariya Shcherbina , Tatyana Shcherbina