Results 61 to 70 of about 172,575 (209)

Monotonicity of zeros of Jacobi polynomials

open access: yesJournal of Approximation Theory, 2007
It is well known that the zeros \(x_{nk}(\alpha,\beta)\), \(k=1,\ldots,n\) of the Jacobi polynomials \(P_n^{(\alpha,\beta)}\) are increasing functions of \(\beta\). The main problem under consideration in the present paper is to find a function \(f_n(\alpha,\beta)\) such that for a fixed \(\alpha>-1\) the product \(f_n(\alpha,\beta)(1-x_{nk}(\alpha ...
Dimitar K. Dimitrov 0001   +1 more
openaire   +5 more sources

Key Technical Fields and Future Outlooks of Space Manipulators: A Survey

open access: yesSmartBot, EarlyView.
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen   +12 more
wiley   +1 more source

On Finite Exceptional Orthogonal Polynomial Sequences Composed of Rational Darboux Transforms of Romanovski-Jacobi Polynomials

open access: yesAxioms
The paper presents the united analysis of the finite exceptional orthogonal polynomial (EOP) sequences composed of rational Darboux transforms of Romanovski-Jacobi polynomials.
Gregory Natanson
doaj   +1 more source

A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function

open access: yesJournal of Function Spaces, 2018
We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one,
Eduard Navas, Wilfredo O. Urbina
doaj   +1 more source

Establishing Shape Correspondences: A Survey

open access: yesComputer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

Jacobi-weighted orthogonal polynomials on triangular domains

open access: yesJournal of Applied Mathematics, 2005
We construct Jacobi-weighted orthogonal polynomials 𝒫n,r(α,β,γ)(u,v,w),α,β,γ>−1,α+β+γ=0, on the triangular domain T. We show that these polynomials 𝒫n,r(α,β,γ)(u,v,w) over the triangular domain T satisfy the following properties: 𝒫n,r(α,β,γ)(u,v,w)∈ℒn,n ...
A. Rababah, M. Alqudah
doaj   +1 more source

Symmetry algebra for the generic superintegrable system on the sphere

open access: yesJournal of High Energy Physics, 2018
The goal of the present paper is to provide a detailed study of irreducible representations of the algebra generated by the symmetries of the generic quantum superintegrable system on the d-sphere.
Plamen Iliev
doaj   +1 more source

On certain weighted Schur type inequalities

open access: yesScience, Technology and Innovation, 2022
In this note we give sharp Schur type inequalities for univariate polynomials with convex weights. Our approach will rely on application of two-dimensional Markov type inequalities, and also certain properties of Jacobi polynomials in order to prove ...
Tomasz Beberok
doaj   +1 more source

The Causal Effect of Parents' Education on Children's Earnings

open access: yesInternational Economic Review, EarlyView.
ABSTRACT We develop and estimate a model of endogenous schooling and earnings to isolate the causal effect of parents' education on children's outcomes. Identification uses earnings differences among children with equal schooling whose parents have different schooling.
Sang Yoon (Tim) Lee   +2 more
wiley   +1 more source

Exceptional Differential Polynomial Systems Formed by Simple Pseudo-Wronskians of Jacobi Polynomials and Their Infinite and Finite X-Orthogonal Reductions

open access: yesMathematics
The paper advances a new technique for constructing the exceptional differential polynomial systems (X-DPSs) and their infinite and finite orthogonal subsets.
Gregory Natanson
doaj   +1 more source

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