Yuan Xu

Yuan Xu

University of Oregon

H-index: 44

North America-United States

About Yuan Xu

Yuan Xu, With an exceptional h-index of 44 and a recent h-index of 21 (since 2020), a distinguished researcher at University of Oregon, specializes in the field of Approximation theory, Orthogonal polynomials, Harmonic analysis, Special functions, Numerical analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

-summability and Fourier series of B-splines with respect to their knots

Sharp Bernstein inequalities on simplex

Continued fractions and orthogonal polynomials in several variables

Orthogonal polynomials on a class of planar algebraic curves

Orthogonal polynomials on planar cubic curves

Monomial and Rodrigues orthogonal polynomials on the cone

Bernstein inequality on conic domains and triangles

Orthogonal polynomials on domains of revolution

Yuan Xu Information

University

Position

Professor of Mathematics

Citations(all)

8514

Citations(since 2020)

2602

Cited By

7089

hIndex(all)

44

hIndex(since 2020)

21

i10Index(all)

167

i10Index(since 2020)

61

Email

University Profile Page

University of Oregon

Google Scholar

View Google Scholar Profile

Yuan Xu Skills & Research Interests

Approximation theory

Orthogonal polynomials

Harmonic analysis

Special functions

Numerical analysis

Top articles of Yuan Xu

Title

Journal

Author(s)

Publication Date

-summability and Fourier series of B-splines with respect to their knots

Mathematische Zeitschrift

Martin Buhmann

Janin Jäger

Yuan Xu

2024/3

Sharp Bernstein inequalities on simplex

Constructive Approximation

Yan Ge

Yuan Xu

2024/2/24

Continued fractions and orthogonal polynomials in several variables

arXiv preprint arXiv:2303.16030

Tomas Sauer

Yuan Xu

2023/3/28

Orthogonal polynomials on a class of planar algebraic curves

Studies in Applied Mathematics

Marco Fasondini

Sheehan Olver

Yuan Xu

2023/7

Orthogonal polynomials on planar cubic curves

Foundations of Computational Mathematics

Marco Fasondini

Sheehan Olver

Yuan Xu

2023/2

Monomial and Rodrigues orthogonal polynomials on the cone

Journal of Mathematical Analysis and Applications

Rabia Aktaş

Amilcar Branquinho

Ana Foulquie-Moreno

Yuan Xu

2023/6/15

Bernstein inequality on conic domains and triangles

Journal of Approximation Theory

Yuan Xu

2023/6/1

Orthogonal polynomials on domains of revolution

arXiv preprint arXiv:2311.15554

Yuan Xu

2023/11/27

Fourier orthogonal series on a paraboloid

Journal d'Analyse Mathématique

Yuan Xu

2023/4

Constructing symmetric cubature formulae on a triangle

Advances in Computational Mathematics

Sangwoo Heo

Yuan Xu

2023/8/25

Approximation and localized polynomial frame on double hyperbolic and conic domains

Constructive Approximation

Yuan Xu

2023/4

A Generalized Pell's equation for a class of multivariate orthogonal polynomials

arXiv preprint arXiv:2307.10668

Jean-Bernard Lasserre

Yuan Xu

2023/7/20

Positive definite functions on a regular domain

arXiv preprint arXiv:2204.05696

Martin Buhmann

Yuan Xu

2022/4/12

Maximal functions and multiplier theorem for Fourier orthogonal series

Journal of Functional Analysis

Yuan Xu

2022/11/1

Sobolev orthogonal polynomials on the conic surface

arXiv preprint arXiv:2209.08186

Lidia Fernandez

Teresa Perez

Miguel Pinar

Yuan Xu

2022/9/16

Hahn polynomials for hypergeometric distribution

Advances in Applied Mathematics

Plamen Iliev

Yuan Xu

2022/8/1

Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid

Transactions of the American Mathematical Society

Yuan Xu

2021/5

Orthogonal structure on a quadratic curve

IMA Journal of Numerical Analysis

Sheehan Olver

Yuan Xu

2021/1

Approximation and localized polynomial frame on conic domains

Journal of Functional Analysis

Yuan Xu

2021/12/15

Intertwining operator associated to symmetric groups and summability on the unit sphere

Journal of Approximation Theory

Yuan Xu

2021/12/1

See List of Professors in Yuan Xu University(University of Oregon)

Co-Authors

H-index: 31
Rick Beatson

Rick Beatson

University of Canterbury

H-index: 30
Marco Vianello

Marco Vianello

Università degli Studi di Padova

H-index: 29
Sheehan Olver

Sheehan Olver

Imperial College London

H-index: 27
Pencho Petrushev

Pencho Petrushev

University of South Carolina

H-index: 25
Feng Dai

Feng Dai

University of Alberta

H-index: 25
Stefano De Marchi

Stefano De Marchi

Università degli Studi di Padova

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