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Sharp Nikolskii inequalities with exponential weights
Authors:P Nevai  V Totik
Institution:(1) Department of Mathematics, The Ohio State University, 231 west 18th avenue, 43210 Columbus, Ohio, USA;(2) Bolyai Institute, Aradi V. Tere 1, 6720 Szeged, Hungary
Abstract:Ucyscytcyacyncyocyvcylcyiecyncyycy tcyocychcyncyycyiecy ocy tscyiecyncykcyicy tcyicypcyacy ncyiecyrcyacyvcyiecyncyscytcy vcy Ncyicykcyocylcysoftcyscykcyocygcyocy dcylcyyacy scylcyucychcy acyyacy vcyiecyscyocyvcyw a(x)=exp(–xa), xisinR, gcydcyiecya0. Tcyocychcyncyiecyiecy, iecyscylcyicyN n (a,p,q)kcyocyncyscytcyacyncytcyacy vcy fcyocyrcymcyucylcyiecy (2), tcyocy dcylcyyacy mcyncyocygcyocychcylcyiecyncyocyvcyRcy n scytcyiecypcyiecyncyicy pcy vcyycypcyocylcyncyiecyncyocy ncy iecyrcyacyvcyiecyncyscytcyvcyocyparP nwaparp, lE CNn(a,p, q)parPnwaparq. Dcyacylcyiecyiecy, ecytcyocyncyacyicylcyucychcyshcyiecyiecy ncyiecyrcyacyvcyiecyncyscytcyvcyocy tcyacykcyocygcyocy vcy icydcyacy vcy tcyocymcy scymcyycyscylcyiecy, chcytcyocy scyucyshchcyiecyscytcyvcyucyiecy tcy pcyocyscylcyiecydcyocyvcyacytcyiecylcysoftcyncyocyscytcy softcy mcyncyocygcyocychcylcyiecyncyocyvcy {P n}, dcylcyyacy kcy ocytcyocyrcyycykhcy vcyycypcyocylcyncyiecyncyocy icy ocybcy rcyacytcyncyocyiecy ncyiecyrcyacyvcyiecyncyscytcyvcyocy.

This material is based upon research supported by the National Science Foundation under Grant No. DMS-84-19525, by the United States Information Agency under Senior Research Fulbright Grant No. 85-41612, and by the Hungarian Ministry of Education (first author). The work was started while the second author visited The Ohio State University between 1983 and 1985, and it was completed during the first author's visit to Hungary in 1985.
Keywords:
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