References
M. Pincus, "A closed form solution of certain programming problems," Oper. Res.,16, 690–694 (1968).
V. V. Ivanov, S. K. Girlin, and V. A. Lyudvichenko, "Global search: problems and results for smooth functions," in: Problems of Cybernetics: Models and Methods of Global Optimization [in Russian], V. V. Fedorov (ed.), Izd. Akad. Nauk SSSR, Moscow (1985), pp. 3–13.
G. E. Shilov and B. A. Gurevich, Integral, Measure, and Derivative [in Russian], Nauka, Moscow (1967).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1962).
G. M. Fikhtengol'ts, Foundations of Mathematical Analysis [in Russian], Vol. 1, Nauka, Moscow (1968).
G. M. Fikhtengol'ts, Foundations of Mathematical Analysis [in Russian], Vol. 2, Nauka, Moscow (1968).
S. M. Ermakov, Monte-Carlo Method and Related Topics [in Russian], Nauka, Moscow (1975).
O. S. Ostapenko, "Integral approach to global maximum seeking," in: Optimization of Computations, abstracts of papers at All-Union Seminar (Alushta, Oct. 6–8, 1987), IK Akad. Nauk UkrSSR, Kiev (1987), pp. 152–154.
O. S. Ostapenko, Analysis of Solution Methods of Some Multiextremum Problems [in Russian], thesis, KGU, Kiev (1988).
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 100–112, November–December, 1993.
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Ostapenko, O.S. Integral representation of the global maximum point. Cybern Syst Anal 29, 867–878 (1993). https://doi.org/10.1007/BF01122740
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DOI: https://doi.org/10.1007/BF01122740