Pointwise inequalities of landau-kolmogorov type for functions defined on a finite segment

Ukrainian Mathematical Journal

Volumn 53, Issue 2, 2001, Pages 270-275

  Babenko, Yu V ^a  

^a OLES HONCHAR DNIPRO NATIONAL UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 52549120216     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1023/A:1010469004645     Document Type: Article

References (5)

1. V. I. Burenkov, "On exact constants in inequalities for norms of intermediate derivatives on a finite interval. II," Tr. Mat. Inst. Akad. Nauk SSSR, 173, 38-49 (1986).
2. V. F. Babenko, V. A. Kofanov, and S. A. Pichugov, "Multivariate inequalities of Kolmogorov type and their applications," in: Multivariate Approximation and Splines, ISNM, Vol. 125, Birkhauser, Basel (1997), pp. 1-12.
3. E. Landau, "Einige Ingleichungen fur zweimal differenzierbare Functionen," Proc. London Math. Soc., 13,43-49(1913).
4. A. Yu. Shadrin, "To the Landau-Kolmogorov problem on a finite interval,"in: Proceedings of the International Conference "Open Problems in Approximation Theory " (Voneshta Voda, June 18-24, 1993), Voneshta Voda (1993), pp. 192-204.
5. V. F. Babenko, V. A. Kofanov, and S. A. Pichugov, "On additive inequalities for intermediate derivatives of functions defined on a finite interval," Ukr. Mat. Zh., 49, No. 5, 619-628 (1997).