Jackson-type theorems in homogeneous approximation

Journal of Approximation Theory

Volumn 152, Issue 1, 2008, Pages 1-19

  Kroó, András ^a   Szabados, József ^a  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

Convex body; Homogeneous polynomials; Jackson; Uniform approximation

Indexed keywords

EID: 42949168314     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2007.08.005     Document Type: Article

References (9)

1. Babenko Y., and Kroó A. Markov-type inequalities for homogeneous polynomials on nonsymmetric star-like domains. In: Govil N.K., et al. (Ed). Frontiers in Approximation and Interpolation Theory (2006), Chapman & Hall, CRC, London, Boca Raton, FL 1-15 (a volume dedicated to the memory of A. Sharma)
2. D. Benko, A. Kroó, A Weierstrass-type theorem for homogeneous polynomials, Trans. Amer. Math. Soc., submitted for publication.
3. Harris L.A. A Bernstein-Markov theorem for normed spaces. J. Math. Anal. Appl. 208 (1997) 476-486
4. Kroó A. Markov-type inequalities for homogeneous polynomials on smooth convex bodies. East J. Approx. 9 (2003) 487-500
5. d. East J. Approx. 11 (2005) 381-404
6. M.J.D. Powell, Approximation Theory and Methods, Cambridge, 1981.
7. Szabados J. On the rate of convergence of a lacunary trigonometric interpolation process. Acta Math. Hungar. 47 (1986) 361-370
8. A.F. Timan, Theory of Approximation of Functions of a Real Variable, Moscow, 1960 (in Russian).
9. P. Varju, Approximation by homogeneous polynomials, Constr. Approx., submitted for publication.