Abstract
The asymptotic behavior of the ratioE n (f)p/ω(f, α/ n) p is studied for individual periodic functionsf εLp
References
V. I. Berdyshev, “On the Jackson theorem in Lp,”Tr. Mat. Inst. Akad. Nauk SSSR,88, 3–16 (1967).
O. V. Davydov, “On the exactness of the Jackson inequality for individual functions,”Ukr. Mat. Zh.,42, No. 11, 1469–1475 (1990).
N. P. Korneichuk,Exact Constants in the Approximation Theory [in Russian], Nauka, Moscow (1987).
S. A. Pichugov, “Yung constant of the spaceL p,”Mat. Zametki,43, No. 5, 604–614 (1988).
I. M. Vinogradov,Fundamentals of Number Theory [in Russian], Nauka, Moscow (1965).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 6, pp. 867–870, June, 1993.
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Pichugov, S.A. Asymptotic behavior of the best approximations for the functions inL p . Ukr Math J 45, 959–963 (1993). https://doi.org/10.1007/BF01061447
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DOI: https://doi.org/10.1007/BF01061447