Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On the sharp Jackson-Nikol’skii inequality for algebraic polynomials on a multidimensional Euclidean sphere
AU - Deikalova, M. v.
N1 - This work was supported by the Russian Foundation for Basic Research (project no. 08-01-00213).
PY - 2009/9/1
Y1 - 2009/9/1
N2 - The best constant C-n,C-m in the Jackson-Nikol'skii inequality between the uniform and integral norms of algebraic polynomials of a given total degree n >= 0 on the unit sphere Sm-1 of the Euclidean space R-m is studied. Two-sided estimates for the constant Cn, m are obtained, which, in particular, give the order n(m-1) of its behavior with respect to n as n -> +infinity for a fixed m.
AB - The best constant C-n,C-m in the Jackson-Nikol'skii inequality between the uniform and integral norms of algebraic polynomials of a given total degree n >= 0 on the unit sphere Sm-1 of the Euclidean space R-m is studied. Two-sided estimates for the constant Cn, m are obtained, which, in particular, give the order n(m-1) of its behavior with respect to n as n -> +infinity for a fixed m.
UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=000268192700010
U2 - 10.1134/S0081543809060108
DO - 10.1134/S0081543809060108
M3 - Article
VL - 266
SP - 129
EP - 142
JO - Proceedings of the Steklov Institute of Mathematics
JF - Proceedings of the Steklov Institute of Mathematics
SN - 0081-5438
IS - S1
ER -
ID: 38590262