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A complete characterization of the similarity between two operator-valued multishifts with invertible operator weights is obtained purely in terms of operator weights. This generalizes several existing results of the unitary equivalence of…

Functional Analysis · Mathematics 2024-01-23 Soumitra Ghara , Surjit Kumar , Shailesh Trivedi

The growing availability of large health databases has expanded the use of observational studies for comparative effectiveness research. Unlike randomized trials, observational studies must adjust for systematic differences in patient…

Methodology · Statistics 2026-01-21 Haidong Lu , Fan Li , Laine E. Thomas , Fan Li

The aim of this paper is to study $ m $-isometric weighted shifts with operator weights (both unilateral and bilateral). We obtain a characterization of such shifts by polynomials with operator coefficients. The procedure of construction of…

Functional Analysis · Mathematics 2025-03-04 Michał Buchała

In this paper we develop the idea of abstract homogeneity in the context of interval-valued (IV) functions endowed with admissible orders and investigate some of its properties.

Logic in Computer Science · Computer Science 2023-03-28 Ana Shirley Monteiro , Regivan Santiago , Radko Mesiar , Marisol Gomez , Martin Papco , Mikel Ferrero-Jaurrieta , Humberto Bustince

We investigate functions with the property that for every interval, the slope at the midpoint of the interval is the same as the average slope. More generally, we find functions whose average slopes over intervals are given by the slope at…

Classical Analysis and ODEs · Mathematics 2025-07-28 Paul Carter , David Lowry-Duda

Agglomerative hierarchical clustering based on Ordered Weighted Averaging (OWA) operators not only generalises the single, complete, and average linkages, but also includes intercluster distances based on a few nearest or farthest…

Machine Learning · Statistics 2023-10-27 Marek Gagolewski , Anna Cena , Simon James , Gleb Beliakov

Aggregation of large databases in a specific format is a frequently used process to make the data easily manageable. Interval-valued data is one of the data types that is generated by such an aggregation process. Using traditional methods…

Methodology · Statistics 2020-01-09 Ufuk Beyaztas , Han Lin Shang , Abdel-Salam G. Abdel-Salam

We provide a description of the spectrum and essential spectra of invertible weighted composition operators acting in some algebras of smooth functions on the interval.

Spectral Theory · Mathematics 2016-06-21 Arkady Kitover

In the context of multicriteria decision making, the ordered weighted averaging (OWA) functions play a crucial role in aggregating multiple criteria evaluations into an overall assessment supporting the decision makers' choice. Determining…

Artificial Intelligence · Computer Science 2018-04-19 Thuy Hong Nguyen

Some key features of the overlap operator with a UV-filtered Wilson kernel are discussed. The first part concerns spectral properties of the underlying shifted hermitean Wilson operator and the relation to the observed speedup of the…

High Energy Physics - Lattice · Physics 2009-11-11 Stephan Durr , Christian Hoelbling , Urs Wenger

For Paley-Wiener functions on weighted combinatorial finite or infinite graphs we develop a weighted sampling theory in which samples are defined as inner products with weight functions (measuring devices). Three reconstruction methods are…

Functional Analysis · Mathematics 2019-06-11 Isaac Z. Pesenson

Operator-valued frames are natural generalization of frames that have been used in quantum computing, packets encoding, etc. In this paper, we focus on developing the theory about operator-valued frames for finite Hilbert spaces. Some…

Functional Analysis · Mathematics 2010-09-28 Bin Meng

In literature, it is common to find problems which require a way to encode a finite set of information into a single data; usually means are used for that. An important generalization of means are the so called Aggregation Functions, with a…

In this paper we obtain some weighted generalizations of Ostrowski type inequalities on time scales involving combination of weighted {\Delta}-integral means, i.e., a weighted Ostrowski type inequality on time scales involving combination…

Functional Analysis · Mathematics 2012-07-19 Wenjun Liu , Hüseyin Rüzgar , Adnan Tuna

We show that some previous results concerning the boundedness of differentiation and integration operators on weighted spaces given by radial weights in the unit disk or the complex plane might fail without some natural additional…

Functional Analysis · Mathematics 2016-04-04 Alexander V. Abanin , Pham Trong Tien

We present important characterizations of the Weighted Composition Operator over the Mittag Leffler space of entire functions. These characterizations include the Hilbert-Schmidt and Unitary char-acterizations of the Weighted Composition…

Functional Analysis · Mathematics 2021-10-22 Himanshu Singh

Quantum theory is the focus of current research. Likelihood functions are widely used in many fields. Because the classic likelihood functions are too strict for extreme data in practical applications, Yager proposed soft ordered weighted…

Quantum Physics · Physics 2021-09-02 Tianxiang Zhan , Yuanpeng He , Fuyuan Xiao

We study approximation properties of multivariate periodic functions from weighted Wiener spaces by sparse grids methods constructed with the help of quasi-interpolation operators. The class of such operators includes classical…

Numerical Analysis · Mathematics 2021-11-12 Yurii Kolomoitsev , Tetiana Lomako , Segey Tikhonov

In this paper, we study the local spectral properties for both unilateral and bilateral weighted shift operators.

Functional Analysis · Mathematics 2007-05-23 A. Bourhim

We establish a set of relations between several quite diverse types of weighted inequalities involving various integral operators and fairly general quasinorm-like functionals which we call sub-monotone. The main result enables one to solve…

Classical Analysis and ODEs · Mathematics 2025-03-13 Amiran Gogatishvili , Luboš Pick