The third and fourth kinds of Chebyshev polynomials and best uniform approximation

Mathematical and Computer Modelling

Volumn 55, Issue 5-6, 2012, Pages 1746-1762

  Eslahchi, M R ^a   Dehghan, Mehdi ^b   Amani, Sanaz ^a  

^a TARBIAT MODARES UNIVERSITY   (Iran)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

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

Indexed keywords

ALTERNATING SET; BEST UNIFORM APPROXIMATION; CHEBYSHEV POLYNOMIALS; GENERATING FUNCTIONS; UNIFORM NORM;

COMPUTER SIMULATION; MATHEMATICAL MODELS;

POLYNOMIAL APPROXIMATION;

EID: 84856213629     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2011.11.023     Document Type: Article

References (6)

1. Mason J.C., Handscomb D.C. Chebyshev Polynomials 2003, Chapman & Hall/CRC.
2. Rivlin T.J. An Introduction to the Approximation of Functions 1981, Dover, New York.
3. Rivlin T.J. Polynomials of best uniform approximation to certain rational functions. Numer. Math. 1962, 4:345-349.
4. Ollin H.Z. Best polynomial approximation to certain rational functions. J. Approx. Theory 1979, 26:389-392.
5. 2). Nonlinear Anal. TMA 2009, 71:740-750.
6. Dehghan M., Eslahchi M.R. Best uniform polynomial approximation of some rational functions. Comput. Math. Appl. 2010, 59:382-390.