Topics on Simultaneous best approximation (Record no. 48790)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01653nam a2200241Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s1974||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | UNM Th-18 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Subrahmanya, M.R. |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Topics on Simultaneous best approximation |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 1974 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | iv; 92p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 1974 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | Ph.D |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | Others |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | In 1968 Rivlin posed a problem on Algebraic Polynomial; "Characterise those n-tuples {P1, P2, ... P(n-1)}of algebraic polynomials such that the degree of Pj is j for j = 0,1,2,..., n-1., for which there exists a real valued continuous function f defined on a closed and finite interval, [a,b] so that the polynomial of best approximation of degree j for f in the sense of Chebyshev, is Pj, j = 0,1,2, ... , n-1". He suggested the necessary condition that, " Suppose there exists a continuous real valued function f defined on [a,b], such that Pj is the polynomial of best approximation, to f of degree j. Then for each pair of indices, i, k, 0 < (or) = i < K < (or) = (n-1). The polynomial Pi - Pk is either identically zero or changes sign atleast (i+1) distinct points in [a,b]. This thesis study the problem for algebraic polynomials and also for General Chebyshev system, and obtain necessary and sufficient conditions. Further various related problems are also discussed. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Algebraic Polynomials |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | General Chebyshev's System |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Unni, K. R. |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/41 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | UNM Th-18 | 16366 | http://www.imsc.res.in/xmlui/handle/123456789/41 | THESIS & DISSERTATION |