PUBLICATIONS DE L'INSTITUT MATH\'EMATIQUE (BEOGRAD) (N.S.) EMIS ELibM Electronic Journals Publications de l'Institut Mathématique (Beograd)
Vol. 73(87), pp. 121-128 (2003)

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OB OCENKAH MODULEJ GLADKOSTI FUNKCIJ S PREOBRAZOVANNYM RYADOM FUR'E

Sergej YU. Tihonov

Mehaniko-matematicheskij fakultet, MGU, Moskva, Rossiya

Abstract: V rabote rassmatrivayutsya funkcii iz prostranstva $L_p$, takie chto ih preobrazovannye ryady Fur'e (v chastnosti, drobnye proizvodnye v smysle Vejlya) prinadlezhat $L_p$. Polucheny ocenki modulya gladkosti drobnogo poryadka preobrazovannogo ryada Fur'e cherez moduli gladkosti samoj funkcii. Privedeny utverzhdeniya, pokazyvayushchie tochnost' etih ocenok na nekotoryh klassah funkcij.

Classification (MSC2000): 42A16; 41A25

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Electronic version published on: 1 Jan 1970. This page was last modified: 14 Apr 2004.

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