Literature cited
N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).
N. P. Korneichuk, “Extremal properties of periodic functions” [in Ukrainian], Dokl. Akad. Nauk Ukr. SSR, No. 8, 993–998 (1962).
V. P. Motornyi, “On an inequality for the modulus of smoothness of periodic functions,” in: The First Republican Mathematical Conference of Young Research Workers [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1965), pp. 519–525.
V. F. Babenko, “Sharp estimates for the norms of the functions from conjugate classes in the Metric of C and L,” in: Studies in the Contemporary Problems of Summation and Approximation of Functions and Their Applications [in Russian], Dnepropetrovsk Univ. (1973), pp. 3–5.
V. F. Storchai, “On an extremal problem for differentiable functions,” ibid. (1982), pp. 53–60.
N. P. Korneichuk, “Sharp estimates for norms of differentiable periodic functions in the metric of L,” Mat. Zametki,2, No. 6, 569–576 (1967).
N. P. Korneichuk, Splines in the Theory of Approximation [in Russian], Nauka, Moscow (1984).
V. F. Storchai, “Sharp estimates for norms of differentiable periodic functions in the metric of L2,” Ukr. Mat. Zh., No. 6, 835–840 (1973).
V. F. Storchai, “On the sharp estimates of norms of differentiable functions,” in: Studies in the Contemporary Problems of Summation and Approximation of Functions and Their Applications [in Russian], Dnepropetrovsk Univ. (1976), pp. 50–54.
N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 6, pp. 820–824, June, 1989.
Rights and permissions
About this article
Cite this article
Storchai, V.F. Sharp estimate op nosms in Lp on certain classes of conjugate functions. Ukr Math J 41, 705–708 (1989). https://doi.org/10.1007/BF01060575
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01060575