Zobrazeno 1 - 10
of 147
pro vyhledávání: '"41a28"'
Autor:
Kozhan, Rostyslav, Vaktnäs, Marcus
We introduce the notion of Laurent multiple orthogonal polynomials on the unit circle. These are the trigonometric polynomials that satisfy simultaneous orthogonality conditions with respect to several measures on the unit circle. This provides an al
Externí odkaz:
http://arxiv.org/abs/2410.12094
This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogues of Pascal distributions on a legged star-like set. The emphasi
Externí odkaz:
http://arxiv.org/abs/2312.14989
We study two families of type II discrete multiple orthogonal polynomials on an $r$-legged star-like set with respect to $r$ weight functions of Charlier (Poisson distributions) and Meixner (negative binomial distributions), respectively. We focus ou
Externí odkaz:
http://arxiv.org/abs/2312.14317
To strike a balance between modeling accuracy and computational efficiency for simulations of ultrasound waves in soft tissues, we derive a pseudodifferential factorization of the wave operator with fractional attenuation. This factorization allows u
Externí odkaz:
http://arxiv.org/abs/2312.09080
Autor:
Das, Syamantak, Paul, Tanmoy
In [{\em Generalized centers of finite sets in Banach spaces}, Acta Math. Univ. Comenian. (N.S.) {\bf 66}(1) (1997), 83--115], Vesel\'{y} developed the idea of generalized centers for finite sets in Banach spaces. In this work, we explore the concept
Externí odkaz:
http://arxiv.org/abs/2311.15818
Autor:
Van Assche, Walter, Wolfs, Thomas
Publikováno v:
Stud. Appl. Math. 151 (2023), no. 2, 411-449
We introduce a new family of multiple orthogonal polynomials satisfying orthogonality conditions with respect to two weights $(w_1,w_2)$ on the positive real line, with $w_1(x)=x^\alpha e^{-x}$ the gamma density and $w_2(x) = x^\alpha E_{\nu+1}(x)$ a
Externí odkaz:
http://arxiv.org/abs/2211.04858
Autor:
Cheregi Larisa, Mursaleen Mohammad
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 150-158 (2024)
The purpose this study is to present and investigate the qq-Beta-Baskakov-Szasz-Stancu operator. The operators are accompanied by Voronovskaja-type consequences, which include both an exact approximation order and a quantitative assessment, specifica
Externí odkaz:
https://doaj.org/article/e5c123dce0694e44bc91ab531ddff02c
In the present manuscript, we present a new sequence of operators, $i.e.$, $\alpha$-Bernstein-Schurer-Kantorovich operators depending on two parameters $\alpha\in[0,1]$ and $\rho>0$ for one and two variables to approximate measurable functions on $[0
Externí odkaz:
http://arxiv.org/abs/2208.12740
Autor:
Sun, Weiming, Zhang, Zimao
Fourier series multiscale method, a concise and efficient analytical approach for multiscale computation, will be developed out of this series of papers. The second paper is concerned with simultaneous approximation to functions and their (partial) d
Externí odkaz:
http://arxiv.org/abs/2208.03749
Autor:
Das, Syamantak, Paul, Tanmoy
Publikováno v:
Quaestiones Mathematicae 46(7) 2023
We continue to study (strong) property-$(R_1)$ in Banach spaces. As discussed by Pai \& Nowroji in [{\it On restricted centers of sets}, J. Approx. Theory, {\bf 66}(2), 170--189 (1991)], this study corresponds to a triplet $(X,V,\mathcal{F})$, where
Externí odkaz:
http://arxiv.org/abs/2207.09623