LAGRANGE AND HERMITE INTERPOLATION IN BANACH SPACES.

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Abstract:

Lagrange and Hermite interpolating polynomials are derived for functions f mapping a Banach space X into itself where polynomials P sub x the sum from 0 to N of L sub nx to the n power are sums of k-linear operators L sub K.

Author(s):
Prenter, P. M.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0028

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-921
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*INTERPOLATION, BANACH SPACE, APPROXIMATION(MATHEMATICS), POLYNOMIALS, MAPPING(TRANSFORMATIONS), SPECIAL FUNCTIONS(MATHEMATICS), OPERATORS(MATHEMATICS), THEOREMS
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
HERMITE INTERPOLATION FORMULA, LAGRANGE INTERPOLATION FORMULA
Report Date:
1968 Oct 01