Pavel Korovkin

Pavel Petrovich Korovkin
Native name	Павел Петрович Коровкин
Born	July 9, 1913 Vesyegonsk, Tver Governorate
Died	August 11, 1985 (aged 72)
Fields	Approximation theory Potential theory
Institutions	Kalinin State University Moscow Automobile and Road Institute Kalinin State University
Alma mater	Leningrad State University

Pavel Petrovich Korovkin (Russian: Павел Петрович Коровкин) (the family name is also transliterated as Korowkin in German sources), (9 July 1913 – 11 August 1985) was a Soviet and Russian mathematician whose main fields of research were orthogonal polynomials, approximation theory and potential theory. In 1947 he proved a generalization of Egorov's theorem:^[1] from the early 1950s on, his research interests turned to functional analysis and he examined the stability of the exterior Dirichlet problem and the convergence and approximation properties of linear positive operators on spaces of continuous functions. The set of terms and Korovkin approximation are named after him.

Life and career

Korovkin was born to a poor peasant family. He lost his father early and grew from 1914 to 1920 at a children's home. In 1930 he finished the school in Leningrad and was the winner of a mathematics competition the right to take the entrance exam without studying at the Faculty of Mathematics and Mechanics of the Leningrad State University, which he made after a year of work use. He studied with V.I. Smirnov and earned his doctorate in 1939 with a dissertation on orthogonal polynomials. He then was appointed to Kalinin State University.

At the beginning of Great Patriotic War, Korovkin volunteered and began a military career.

In December 1945, he continued his work at the Kalinin Pedagogical Institute, in 1947 with a thesis on convergence of polynomial sequences, and was appointed professor in 1948. At the Moscow Automobile and Road Institute from 1958 to 1970 he headed the department of higher mathematics, then he became head of the Department of Mathematical Analysis at the Tsiolkovsky State University in Kaluga.

Selected publications

• Korovkin, P. P. (1947), "Generalization of a theorem of D. F. Egorov", Doklady Akademii Nauk SSSR (in Russian) 58: 1265–1267, MR 0023322, Zbl 0038.03803.
• Korovkin, P. P. (1959), Линейные операторы и теория приближений (in Russian), Москва: Физматгиз, p. 211, Zbl 0094.10201, translated in English as Linear operators and approximation theory, Russian monographs and texts on advanced mathematics and physics, Vol. III, Gordon and Breach, 1960, pp. vii+222, MR 0150565.

Notes

1. In the paper (Korovkin 1947). See also the two biographical papers by Nikol'skii, Privalov and Ul'yanov (1984, p. 180; 1986, p. 156).

Biographical references

• Kurosh, A. G.; Vityushkov, V. I.; Boltyanskii, V. G.; Dynkin, E. B.; Shilov, G. E.; Yushkevich, A. P., eds. (1959), Математика в СССР за сорок лет 1917–1957 (in Russian), Том пербый: Обзорные статьи, Москва: Государственное Издательство Физико–Математическои Литературы, p. 1002, MR 0115874, Zbl 0191.27501. The "Mathematics in the USSR during its first forty years 1917–1957 is an opus in two volumes describing the developments of Soviet mathematics during the first forty years of its existence. This is the first volume, titled "Survey articles" and consists exactly of such kind of articles authored by Soviet experts and reviewing briefly the contributions of Soviet mathematicians to a chosen field, during the years from 1917 to 1957.
• Kurosh, A. G.; Vityushkov, V. I.; Boltyanskii, V. G.; Dynkin, E. B.; Shilov, G. E.; Yushkevich, A. P., eds. (1959), Математика в СССР за сорок лет 1917–1957 (in Russian), Том второй: Биобиблиография, Москва: Государственное Издательство Физико–Математическои Литературы, p. 819, MR 0115874, Zbl 0191.27501. The "Mathematics in the USSR during its first forty years 1917–1957 is an opus in two volumes describing the developments of Soviet mathematics during the first forty years of its existence. This is the second volume, titled "Biobibliography" (evidently an acronym of biography and bibliography), containing a complete bibliography of works published by Soviet mathematicians during that period, alphabetically ordered with respect to author's surname and including, when possible, brief but complete biographies of the authors.
• Fomin, S. V.; Shilov, G. E., eds. (1969), Математика в СССР 1958–1967 (in Russian), Том второй: Биобиблиография выпуск первый А–Л, Москва: Издательство "Наука", p. 816, MR 0250816, Zbl 0199.28501. The "Mathematics in the USSR 1958–1967" is a two–volume continuation of the opus "Mathematics in the USSR during its first forty years 1917–1957" and describes the developments of Soviet mathematics during the period 1958–1967. Precisely it is meant as a continuation of the second volume of that work and, as such, is titled "Biobibliography" (evidently an acronym of biography and bibliography). It includes new biographies (when possible, brief and complete) and bibliographies of works published by new Soviet mathematicians during that period, and updates on the work and biographies of scientist included in the former volume, alphabetically ordered with respect to author's surname.
• Nikol'skii, S. M.; Privalov, A. A.; Ul'yanov, P. L. (1984), "Pavel Petrovich Korovkin (on his seventieth birthday)", Uspekhi Matematicheskikh Nauk (in Russian) 39 (1(235)): 179–180, MR 733986, also translated in English as "Pavel Petrovich Korovkin (on his seventieth birthday)", Russian Mathematical Surveys 39 (1), 1984: 209–211, doi:10.1070/RM1984v039n01ABEH003089.
• Nikol'skii, S. M.; Privalov, A. A.; Ul'yanov, P. L. (1986), "Pavel Petrovich Korovkin (obituary)", Uspekhi Matematicheskikh Nauk (in Russian) 41 (5(251)): 155–156, MR 878329, Zbl 0612.01023, translated in English as "Pavel Petrovich Korovkin", Russian Mathematical Surveys 41 (No. 5), 1986: 119–121, doi:10.1070/RM1986v041n05ABEH003425, Zbl 0614.01023, 1986RuMaS..41..119N.

References

• Altomare, Francesco (12 September 2010), "Korovkin-type Theorems and Approximation by Positive Linear Operators" (PDF), Surveys in Approximation Theory 5: 92–164, MR 2721174.