On sequences of Fourier coefficients of functions of Hölder classes |
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| Authors: | G S Abros'kina B S Mityagin |
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| Institution: | (1) Voronezh State Pedagogical Institute, USSR;(2) Central Economico-Mathematical Institute, Academy of Sciences of the USSR, USSR |
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| Abstract: | The following theorem is proved. Let {
k(t)} be an arbitrary complete orthonormal system on 0, 1] and let 1/2< <1. Then anf(t) C exists for all< such that 
k=1
· |ck(f)|p=, p=2/(l+2), where
.Translated from Matematicheskie Zametki, Vol. 6, No. 5, pp. 567–572, November, 1969.The authors wish to thank P. P. Zabreiko and P. L. Ul'yanov for helpful discussions and remarks. |
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