ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Sorting

Electronic Resource

Das asymptotische Verhalten der Peanokerne einiger interpolatorischer Quadraturverfahren (1987)

Fiedler, H.

Springer

Numerische Mathematik 51 (1987), S. 571-581

add to mindlist on the mindlist

Details

ISSN: 0945-3245

Keywords: AMS(MOS): 65D32 ; CR: G1.4

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary Interpolatory quadrature formulae consist in replacing $$\int\limits_{ - 1}^1 {f(x) dx} $$ by $$\int\limits_{ - 1}^1 {p_f (x) dx} $$ wherep f denotes the interpolating polynomial off with respect to a certain knot setX. The remainder $$R(f) = \int\limits_{ - 1}^1 {(f(x) - p_f (x)) dx} $$ may in many cases be written as $$\int\limits_{ - 1}^1 {P_X (t)f^{(m)} (t) dt} $$ wherem=n resp. (n+1) forn even and odd, respectively. We determine the asymptotic behaviour of the Peano kernelP X (t) forn→∞ for the quadrature formulae of Filippi, Polya and Clenshaw-Curtis.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01400357

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit