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Item Details
| Title:
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CONSTRUCTIVE METHODS FOR THE PRACTICAL TREATMENT OF INTEGRAL EQUATIONS
PROCEEDINGS OF THE CONFERENCE AT THE MATHEMATISCHES FORSCHUNGSINSTITUT OBERWOLFACH, JUNE 24-30, 1984 |
| By: |
Prof. Dr. G. Hammerlin (Editor), Karl Heinz Hoffmann (Editor) |
| Format: |
Hardback |
| List price:
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£72.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
3764316853 |
| ISBN 13: |
9783764316853 |
| Publisher: |
BIRKHAUSER VERLAG AG |
| Pub. date: |
1 January, 1985 |
| Edition: |
1985 ed. |
| Series: |
International Series of Numerical Mathematics 73 |
| Pages: |
284 |
| Description: |
O I 1 -1 durch die GauB-Quadraturformel Q I n n L w 0 f (x 0) i=1 1 1 Sei Rn: = I - Q das Fehlerfunktional. n Izl1, Fur eine im Kreis Kr I Kr: = {z E a: holomorphe Funktion f, f(z) = L i=O sei f i i = x . ( 1. 1): = sup{ I a 0 I r i E: JN und R (qo) * O}, qo (x) o 1 n 1 1 In Xr: = {f: f holomorph in Kr und Iflr |
| Synopsis: |
O I 1 -1 durch die GauB-Quadraturformel Q I n n L w 0 f (x 0) * i=1 1 1 Sei Rn : = I - Q das Fehlerfunktional. n Izl1, Fur eine im Kreis Kr I Kr : = {z E a: holomorphe Funktion f, f(z) = L i=O sei f i i * = x . ( 1. 1) : = sup{ I a 0 I r i E:JN und R (qo) * O}, qo (x) o 1 n 1 1 In Xr := {f: f holomorph in Kr und Iflr < oo} ist I . I eine Seminorm. Das Fehlerfunktional Rn ist in r (X I* I r) stetig I und fUr II Rn II I r, gilt die Identitat 00 (1 . 2) L i=O Dieser Zugang zu ableitungsfreien Abschatzungen des Fehlerterms (1 * 3) geht auf Hammerlin [4] zurUck. 15 Erftillt die Gewichtsfunktion w eine der Bedingungen w (t ) w(t ) 1 2;;; (1. 4. a) w (-t ) w (-t ) 1 2 beziehungsweise w (t ) w(t ) 1 2 (1. 4. b) ~ w (-t ) w (-t ) 1 2 so gilt mit P (x) (X-X ) *. * (X-X ) ftir die Fehlernorm 1 n n r 1 Pn(x) (1. 5. a) --,-. . - J w (x) dx Pn(r) -1 r-x beziehungsweise r 1 P (x) (1. 5. b) ( ) J w(x) ~ dx . |
| Illustrations: |
284 p. |
| Publication: |
Switzerland |
| Imprint: |
Birkhauser Verlag AG |
| Returns: |
Returnable |
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