Differential operator for discrete Gegenbauer--Sobolev orthogonal polynomials: eigenvalues and asymptotics

We consider the following discrete Sobolev inner product involving the Gegenbauer weight $$(f,g)_S:=\int_{-1}^1f(x)g(x)(1-x^2)^{\alpha}dx+M\big[f^{(j)}(-1)g^{(j)}(-1)+f^{(j)}(1)g^{(j)}(1)\big],$$ where $\alpha>-1,$ $j\in \mathbb{N}\cup \{0\},$ and $M>0.$ Our main objective is to calculat...

Ful tanımlama

Detaylı Bibliyografya
Asıl Yazarlar: Littlejohn, Lance L., Mañas Mañas, Juan Francisco, Moreno Balcázar, Juan José, Wellman, Richard
Materyal Türü: info:eu-repo/semantics/article
Dil:English
Baskı/Yayın Bilgisi: 2024
Konular:
Online Erişim:http://hdl.handle.net/10835/15245