Ibragim Ibishevich Ibragimov ( Azeri. İbrahim İbiş oğlu İbrahimov ; February 28, 1912 , Gargabazar , Elizavetpol Province - November 6, 1994 [1] ) - Azerbaijani Soviet mathematician , academician of the Academy of Sciences of the Azerbaijan SSR ( 1968 ), professor, doctor of physical and mathematical scientists.
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| Scientific field | maths |
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| Academic title | Professor Academician of the Academy of Sciences of Azerbaijan SSR |
Content
Biography
In 1935 he graduated from the Physics and Mathematics Faculty of the Pedagogical Institute in Baku. In 1939 - graduate school of Moscow State University. MV Lomonosov and there passed the doctoral studies in 1945-1947. In 1939 I. Ibragimov became the first to defend his thesis in Azerbaijan . Thesis: "On the completeness of some systems of analytic functions."
In 1939-1962 Worked at Azerbaijan Pedagogical Institute. In 1949 he became a professor. In 1957 he transferred to work at the Institute of Mathematics of the Academy of Sciences of the Azerbaijan SSR , in 1959 he headed this institute.
Scientific Activities
The main studies of I. Ibragimov relate to the theory of analytic functions, the theory of approximations, the theory of functions of a real and complex variable. As a result of intense scientific work, he obtained valuable results on the exact and asymptotic expression of the best approximation of functions of a real variable with various features, revealed a number of extremal properties of finite degrees on the real axis.
Since 1962, I. Ibragimov has been working on direct and inverse problems of the theory of best approximation in various infinite domains. Together with M. Keldysh, he found a criterion for the convergence of the Newton interpolation process in the whole class of entire functions. Together with A. Gelfond, he solved the problem of two points, which was a major contribution to the theory of functions and the starting point of many further studies. He determined the completeness conditions and the completeness range of various systems of analytic functions by the methods of the theory of interpolation .
He worked closely with outstanding Soviet mathematicians M. V. Keldysh, S. N. Bernshtein , A. O. Gelfond, M. A. Lavrentyev, and others in the field of the constructive theory of functions of a complex and real variable.
He prepared 36 candidates and 1 doctor of science (R. G. Mamedov).
Selected Works
The author of more than 80 scientific papers, including:
- On the completeness of some systems of analytic functions (1939)
- Extreme problems in the class of entire functions of finite degree (1959)
- Some inequalities for entire functions of exponential type (1960)
- Some inequalities for algebraic polynomials (1961)
- Extreme properties of entire functions of finite degree (1962)
- On extremal properties of analytic functions in infinite domains (1965)
- Interpolation methods of functions and some of their applications (1971)
- On the methods of finding functions that deviate least from functions of several variables (jointly with M. — B. A. Babayev) (1971)
- On the completeness of some systems of analytic functions, DAN 197: 5 (with I. S. Arshon) (1971)
- Interpolation methods of functions and some of their applications, (1971)
- The problem of uniqueness of entire analytic functions, Theses of reports at the All-Union Conference on the Theory of Functions of Complex. variable in Kharkov. (1971)
- On the distribution of zeros of the partial sums of the Taylor - Dirichlet series. (together with I. G. Mehdiyev) (1971)
- On conditions for the monotony of a sequence of derivatives of polynomials A. O. Gel'fond - S. N. Bernshtein (1971)
- On the study of the problem of uniqueness of entire functions by the methods of the theory of interpolation (1971)
- Special questions of the theory of functions (1977)
- Theory of approximation by entire functions (1979)
- Selected questions of the theory of analytic functions (1984) and others.
He wrote textbooks in the Azerbaijani language, Fundamentals of Number Theory (1955), Fundamentals of the Theory of Series (1957), Mathematical Analysis (1962), which played an important role in the training of national cadres in mathematics and engineering.
Notes
Literature
- Evgrafov MA , Kudryavtsev L. D., Markushevich A. I., Nikolsky S. M. Ibragim Ibishevich Ibragimov (on his sixtieth birthday) // Uspekhi Matematicheskikh Nauk . - 1972. - Vol . 27 , No. 5 . - p . 259-263 .
- Mathematics. Mechanics. Biographical guide / Comp. A. N. Bogolyubov. - Kiev: Naukova Dumka, 1983. - p. 193. - 639 p.
- Borodin A.I., Bugay A.S. Biographical dictionary of figures in the field of mathematics. - Kiev: Radyanska School, 1979. - p. 214-215. - 607 s.