Strong approximation of Fourier series and embedding theorems |
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| Authors: | Sergey Tikhonov |
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| Institution: | (1) I: Department of Mechanics and Mathematics, Moscow State University; II: Centre de Recerca Matematica (CRM), I: Moscow 119 899, Russia; II: Bellaterra (Barcelona) E-08193, Spain |
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| Abstract: | Summary In this paper, embedding results are considered which arise in the strong approximation by Fourier series. We prove several theorems on the interrelation between the classes Wr Hβω and H (λ,p,r,ω), the latter being defined by L. Leindler. Previous related results in Leindler’s book 2] and paper 5] are particular cases of our results. |
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