This is a preview of subscription content, log in via an institution to check access.
Literature cited
A. I. Stepanets, Uniform Approximations by Trigonometric Polynomials [in Russian], Naukova Dumka, Kiev (1981).
A. I. Stepanets and N. N. Sorich, “Joint approximation of periodic functions and their derivatives by Fourier sums,” Mat. Zametki,36, No. 6, 873–882 (1984).
N. N. Zaderei, Joint Approximation of Periodic Functions and Their Derivatives by Vallee Poussin Sums [in Russian], Preprint, Inst. Mat. Akad. Nauk Ukr. SSR, 81.24, Kiev (1981).
N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).
V. G. Pinkevich, “On the order of the remainder term of the Fourier series of the functions that are differentiable in the sense of Weyl,” Izv. Akad. Nauk SSSR, Ser. Mat.,4, No. 6, 521–528 (1940).
S. M. Nikol'skii, “Approximation of functions by trigonometric polynomials in the mean,” Izv. Akad. Nauk SSSR, Ser. Mat.,10, No. 3, 207–244 (1946).
A. G. Demchenko, “On the approximation of periodic functions in the mean,” Author Abstract of Candidate's Dissertation, Physicomathematical Sciences, Kiev (1971).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 2, pp. 205–211, March–April, 1985.
Rights and permissions
About this article
Cite this article
Sorich, N.N. Joint approximation of periodic functions and their derivatives by the Fourier and the Vallee Poussin sums in the metric of L. Ukr Math J 37, 174–179 (1985). https://doi.org/10.1007/BF01059714
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01059714