Estimates of the rate of convergence for certain quadrature formulas on the half-line | Zendy

Adhemar Bultheel | Zendy; Carlos Díaz Mendoza | Zendy; Pablo González-Vera | Zendy; R. Orive | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Estimates of the rate of convergence for certain quadrature formulas on the half-line

Author(s) -

Adhemar Bultheel,

Carlos Díaz Mendoza,

Pablo González-Vera,

R. Orive

Publication year - 1999

Publication title -

contemporary mathematics - american mathematical society

Language(s) - English

Resource type - Reports

SCImago Journal Rank - 0.106

H-Index - 12

eISSN - 1098-3627

pISSN - 0271-4132

DOI - 10.1090/conm/236/03491

Subject(s) - mathematics , quadrature (astronomy) , rate of convergence , line (geometry) , convergence (economics) , mathematical analysis , calculus (dental) , geometry , computer science , optics , telecommunications , medicine , channel (broadcasting) , dentistry , physics , economics , economic growth

We investigate the rate of convergence of so-called n-point Gauss type quadrature formulas to integrals of the form R 1 0 f(x)d(x) where is a general distribution function on 0; 1) and where f is analytic and admits a Laurent expansion in C n f0g. The general results are then applied in the special case where d(x) = x a expf?(x + x ?)gdx, a 2 R and 2 (1=2; 1).

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research