The best uniform polynomial approximation to class of the form frac(1, (a2 ± x2))

Nonlinear Analysis, Theory, Methods and Applications

Volumn 71, Issue 3-4, 2009, Pages 740-750

  Eslahchi, M R ^a   Dehghan, Mehdi ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Alternating set; Best polynomial approximation; Chebyshev polynomials; Uniform norm

Indexed keywords

ALTERNATING SET; BEST APPROXIMATIONS; BEST POLYNOMIAL APPROXIMATION; CHEBYSHEV EXPANSIONS; CHEBYSHEV POLYNOMIALS; RATIONAL FUNCTIONS; UNIFORM NORM;

CHEBYSHEV APPROXIMATION; FUNCTION EVALUATION;

POLYNOMIAL APPROXIMATION;

EID: 67349119568     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.10.131     Document Type: Article

References (9)

1. Watson G.A. Approximation Theory and Numerical Methods Chicago (1980), John Wiley & Sons
2. Rivlin T.J. An Introduction to the Approximation of Functions (1981), Dover, New York
3. Ollin H.Z. Best polynomial approximation to certain rational functions. J. Approx. Theory 26 (1979) 389-392
4. Jokar S., and Mehri B. The best approximation of some rational functions in uniform norm. Appl. Numer. Math. 55 (2005) 204-214
5. - 1 and its transforms. J. Approx. Theory 125 (2003) 106-115
6. Newman D.J., and Rivlin T.J. Approximation of monomials by lower degree polynomials. Aeq. Math. 14 (1976) 451-455
7. Bernstein S.N. Extremal Properties of Polynomials and the Best Approximation of Continuous Functions of Single Real Variable (1973), State United Scientific and Technical Publishing House Translated from Russian
8. Mason J.C., and Handscomb D.C. Chebyshev Polynomials (2003), Chapman & Hall/ CRC
9. Rivlin T.J. Chebyshev Polynomials (1990), Wiley, New York