Masters Theses

Abstract

"It is the purpose of this study to survey the properties of the Tschebyscheff polynomials with particular reference to how they are employed as approximants and interpolants. The survey is extended to include the process known as "Tschebyscheff Approximation" or "Tschebyscheff Fitting" of a function by functions other than polynomials. One such fitting technique which will be of particular interest in this study is that of fitting f(x) by the function abx + c where a, b, c are real and b ≠ 1. In addition to a survey of the properties of the Tschebyscheff polynomials and of Tschebyscheff fitting techniques, computer-programmed illustrations will be presented to demonstrate the practicability of fitting functions by Tschebyscheff polynomials and other special functions. In addition to the computation of the parameters, a computer-programmed plotting of the function and its approximants is also displayed"--Introduction, page 1.

Advisor(s)

Johnson, Charles A.

Committee Member(s)

Rivers, Jack L.
Pyron, Howard D.
Baird, Thomas B.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

University of Missouri at Rolla

Publication Date

1965

Pagination

iii, 66 pages

Note about bibliography

Includes bibliographical references (pages 63-65).

Rights

© 1965 George F. Luffel, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Chebyshev polynomials
Nonlinear functional analysis -- Mathematical models

Thesis Number

T 1756

Print OCLC #

5968341

Electronic OCLC #

805723463

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