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Additional Physical Format: | Online version: Walsh, J. L. (Joseph Leonard), 1895-1973. Asymptotic properties of polynomials with auxiliary conditions of interpolation (OCoLC)1103291287 |
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Material Type: | Government publication, National government publication |
Document Type: | Book |
All Authors / Contributors: |
J L Walsh; Harvard University.; United States. Air Force. Office of Scientific Research. |
OCLC Number: | 227262150 |
Notes: | Date of Report: April, 1961. Contract numbers: AF 49(638)-574 and AF 49(638)-845. |
Description: | 15 pages ; 28 cm. |
Series Title: | United States. Air Force Office of Scientific Research, AFOSR 9. |
Other Titles: | Technical Report Archive & Image Library (TRAIL) |
Responsibility: | J.L. Wash, Harvard University. |
Abstract:
Let a closed bounded point set E be given in the z-plane. Necessary and sufficient conditions are found for validity of the following: given assigned conditions of interpolation in a finite number of points: pn(zk) = Ank; there exists a sequence of polynomials pn(z) satisfying these conditions and lim sup max pn(z), z on E 1/n = (E), where (E) is the transfinite diameter of E. (Author).
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