The best approximation of some rational functions in uniform norm

Applied Numerical Mathematics

Volumn 55, Issue 2, 2005, Pages 204-214

  Jokar, Sadegh ^a   Mehri, Bahman ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Alternating set; Best approximation; Chebyshev polynomial

Indexed keywords

APPROXIMATION THEORY; INTEGRAL EQUATIONS; POLYNOMIALS; THEOREM PROVING;

ALTERNATING SETS; BEST APPROXIMATIONS; CHEBYSHEV POLYNOMIALS;

FUNCTIONS;

EID: 23144462344     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2005.02.005     Document Type: Article

References (8)

1. N.I. Achieser Theory of Approximation 1992 Dover New York translated from Russian
2. S.N. Bernstein Extremal Properties of Polynomials and the Best Approximation of Continuous Functions of Single Real Variable 1937 State United Scientific and Technical Publishing House translated from Russian
3. E.W. Cheney Introduction to Approximation Theory 1982 Chelsea New York
4. G.G. Lorentz Approximation of Functions 1986 Holt, Rinehart and Winston New York
5. D.S. Lubinsky Best approximation and interpolation of (1 + (a x ) 2 ) -1 and its transforms J. Approx. Theory 125 2003 106 115
6. D.J. Newman, and T.J. Rivlin Approximation of monomials by lower degree polynomials Aeq. Math. 14 1976 451 455 Ch. 11:352, 353
7. T.J. Rivlin An Introduction to the Approximation of Functions 1981 Dover New York
8. A.F. Timan Theory of Approximation of a Real Variable 1963 Macmillan New York translated from Russian