ISSN:
1420-8903
Keywords:
Primary 65D32
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary P. Turán has formulated a problem concerning a quadrature formula of the form (1) $$\int_{ - 1}^1 {f(x) dx \approx } \sum\limits_{t = 1}^n {(a,f(x_t ) + cf^n (x_i )),} $$ which has algebraic degree of precision at least 2n. We give a simple construction of such a quadrature, exact for all polynomials of degree 2n+1.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02227452
Permalink