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  • 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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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  W r H β ω  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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