Literature cited
V. V. Ivanov and V. K. Zadiraka, “Some new results in the theory of approximation,” Transactions of Numerical Mathematics, Kiev State University, Sbornik Vychis. Matem. Izd. KGU, No. 2 (1966).
V. K. Zadiraka, “On approximation of the transfer function,” Trudy Seminara po Algoritmizatsii Proizvodstvennykh Protsessov, Izd. KDNTP, No. 8, Kiev (1965).
V. V. Solodovnikov and A. S. Uskov, Statistical Analysis of Items Control [in Russian], Goztekhizdat, Moscow (1960).
E. C. Titchmarsh, Introduction of the Theory of Fourier Integrals, Oxford Univ. Press, New York (1937).
V. K. Zadiraka, “Some applications of the theory of approximation to the problem of automatic control,” Abstract of Dissertation, Kiev Univ., Kiev (1968).
V. K. Zadiraka, “A standard sub-program for approximating a transfer function and for calculating an impulsive jump of a function,” Compendium of Standard Sub-Programs for KMShP, Tekhnika, Kiev (1966).
N. K. Bari, “On locally optimal approximation of periodic functions by trigonometric polynomials,” Uch. Zapiski MGU,8, No. 81 (1956).
M. A. Lavrent'ev and B. V. Shabat, Methods in the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1965).
A. I. Markushevich, The Theory of Analytic Functions [in Russian], Goztekhizdat, Moscow (1950).
S. Ya. Al'per and V. V. Ivanov, “On approximation of functions by partial sums of a series of Faber polynomials” [in Russian], Dokl. Akad. Nauk SSSR,90, No. 3 (1953).
N. I. Akhiezer, Lectures on the Theory of Approximation [in Russian], Nauka, Moscow (1965).
F. D. Gakhov, Boundary Value Problems [in Russian], Fizmatgiz, Moscow (1958).
V. A. Vostretsov and A. V. Ignat'eva, “On the question of the rapidity of convergence of approximation of analytic functions on arbitrary continua,” Uch. Zapiski Moskv. Obl. Ped. In-ta, Matem.,7, No. 4, Moscow (1957).
S. N. Mergelyan, Uspekhi Matem. Nauk,7, 2(48), 31 (1952).
V. K. Dzyadyk, “On the construction of characteristic functions of the Hoelder class on closed sets with piecewise smooth boundaries assuming zero angles,” Ukrainskii Matem. Zh.,20, No. 5 (1968).
V. V. Ivanov, “The theory of methods of approximation and their application to the numerical solution of singular integral equations,” Naukova Dumka, Kiev (1968).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol.21, No. 6, pp. 734–745, November–December, 1969.
Rights and permissions
About this article
Cite this article
Zadiraka, V.K., Ivanov, V.V. Approximation of dynamical characteristics of a class of generalized functions. Ukr Math J 21, 610–619 (1969). https://doi.org/10.1007/BF01085190
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085190