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Journal of Approximation Theory
Volumn 99, Issue 1, 1999, Pages 134-152
On Bernstein and Markov-Type Inequalities for Multivariate Polynomials on Convex Bodies
Author keywords

Multivariate polynomials; convex bodies; gradient and directional derivative of polynomials
Indexed keywords

EID: 0001000302     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3314     Document Type: Article
Times cited : (57)
References (8)
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    • (1995) East J. Approx. , vol.1 , pp. 379-389
    • Bialas-Ciez, L.1    Goetgheluck, P.2
  • 3
    • 0000406561 scopus 로고
    • Approximation et interpolation des fonctions différentiables des plusieurs variables
    • Coatmelec C. Approximation et interpolation des fonctions différentiables des plusieurs variables. Ann. Sci. École Norm. Sup. (3). 83:1966;271-341.
    • (1966) Ann. Sci. École Norm. Sup. (3) , vol.83 , pp. 271-341
    • Coatmelec, C.1
  • 4
    • 34250949324 scopus 로고
    • On bounded polynomials in several variables
    • Kellogg O. D. On bounded polynomials in several variables. Math. Z. 27:1928;55-64.
    • (1928) Math. Z. , vol.27 , pp. 55-64
    • Kellogg, O.D.1
  • 5
    • 0001398035 scopus 로고    scopus 로고
    • Some external problems for multivariate polynomials on convex bodies
    • Kroó A., Schmidt D. Some external problems for multivariate polynomials on convex bodies. J. Approx. Theory. 90:1997;415-434.
    • (1997) J. Approx. Theory , vol.90 , pp. 415-434
    • Kroó, A.1    Schmidt, D.2
  • 6
    • 33746672958 scopus 로고
    • Markov inequalities for polynomials on triangles
    • Nadzhmiddinov D., Subbotin Y. N. Markov inequalities for polynomials on triangles. Mat. Zametki. 46:1989.
    • (1989) Mat. Zametki , vol.46
    • Nadzhmiddinov, D.1    Subbotin, Y.N.2
  • 7
    • 84976155331 scopus 로고
    • Bounds on the derivatives of polynomials on Banach spaces
    • Sarantopoulos Y. Bounds on the derivatives of polynomials on Banach spaces. Math. Proc. Cambridge Philos. Soc. 110:1991;307-312.
    • (1991) Math. Proc. Cambridge Philos. Soc. , vol.110 , pp. 307-312
    • Sarantopoulos, Y.1
  • 8
    • 0001288395 scopus 로고
    • A Markov inequality in several dimensions
    • Wilhelmsen D. R. A Markov inequality in several dimensions. J. Approx. Theory. 11:1974;216-220.
    • (1974) J. Approx. Theory , vol.11 , pp. 216-220
    • Wilhelmsen, D.R.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.