Nikolskii, Sergei Mikhailovich definition of Nikolskii, Sergei Mikhailovich in the Free Online Encyclopedia.

Nikol’skii, Sergei Mikhailovich

Born Apr. 17 (30), 1905, at the Talitsa Factory in Perm’ Province, now the city of Talitsa, Sverdlovsk Oblast. Soviet mathematician. Academician of the Academy of Sciences of the USSR (1972; corresponding member, 1968). Member of the CPSU since 1952.

Nikol’skii graduated from the Ekaterinoslav Institute of Public Education (now the University of Dnepropetrovsk) in 1929 and worked there from 1930 to 1940. In 1940 he began working at the V. A. Steklov Institute of Mathematics of the Academy of Sciences of the USSR, and in 1947 he became a professor at the Moscow Physicotechnical Institute.

Nikol’skii’s work deals mostly with functional analysis, the theory of approximation of functions, the theory of imbedding of classes of differentiable functions of many variables, direct methods of the calculus of variations, and the theory of boundary-value problems for partial differential equations. His studies on approximation theory are of great importance. He found asymptotically exact estimates for approximation of functions by trigonometric and algebraic polynomials. He developed a theory of optimal quadrature formulas. Nikol’skii developed methods of approximation by entire exponential-type functions that enabled him to derive direct and inverse imbedding theorems for generalized Holder classes of functions of many variables. He also provided new formulations of boundary-value problems for higher-order elliptic equations with strong degeneracy at the boundary and investigated these formulations by a variational method. Nikol’skii received the State Prize of the USSR in 1952 and the P. L. Chebyshev Prize in 1972. He has been awarded the Order of the Red Banner of Labor and several medals.

WORKS

Kvadraturnye formuly. Moscow, 1958.
Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniia. Moscow, 1969.
Kurs matematicheskogo analiza, vols. 1–2. Moscow, 1973.

Mentioned in	?		Encyclopedia browser	?		Full browser	?
No references found			Nikolev, Nikolai Nikolev, Nikolai Petrovich Nikolo-Berezovka Nikologory Nikolova, Iordanka Nikoloz Baratashvili Nikoloz Melitonovich Baratashvili Nikolsburg Nikolsk Nikolsk-Ussuriski Nikolskii, Aleksandr Nikolskii, Aleksandr Sergeevich Nikolskii, Boris Nikolskii, Boris Petrovich Nikolskii, Dmitrii Nikolskii, Dmitrii Petrovich Nikolskii, Georgii Nikolskii, Georgii Vasilevich Nikolskii, Mikhail Nikolskii, Mikhail Vasilevich Nikolskii, Nikolai Nikolskii, Nikolai Mikhailovich Nikolskii, Petr Nikolskii, Petr Vasilevich Nikolskii, Sergei Nikolskii, Sergei Mikhailovich Nikolskii, Vladimir Nikolskii, Vladimir Kapitonovich Nikolskoe Nikolskoe-na-Cheremshane Nikon Nikon Chronicle Nikopol Nikopol Southern Pipe Metallurgical Works Nikortsminda Nikos Belogiannis Nikos Kazantzakis Nikosia Niksic Nikulaussön, Erlend Nikulikhin, Iakov Nikulikhin, Iakov Petrovich Nikulin, Iurii Nikulin, Iurii Vladimirovich Nikulin, Lev Nikulin, Lev Veniaminovich Nikulina, Nadezhda Nikulina, Nadezhda Alekseevna NIL Nil Aleksandrovich Popov Nil Fedorovich Filatov			Nikolo-Berezovka Nikolo-Korelsky Monastery Nikolo-Korelsky Monastery Nikologory Nikolova, Iordanka Nikoloz Baratashvili Nikoloz Melitonovich Baratashvili Nikolsburg Nikolsk Nikolsk-Ussuriski Nikolskii, Aleksandr Nikolskii, Aleksandr Sergeevich Nikolskii, Boris Nikolskii, Boris Petrovich Nikolskii, Dmitrii Nikolskii, Dmitrii Petrovich Nikolskii, Georgii Nikolskii, Georgii Vasilevich Nikolskii, Mikhail Nikolskii, Mikhail Vasilevich Nikolskii, Nikolai Nikolskii, Nikolai Mikhailovich Nikolskii, Petr Nikolskii, Petr Vasilevich Nikolskii, Sergei Nikolskii, Sergei Mikhailovich Nikolskii, Vladimir Nikolskii, Vladimir Kapitonovich Nikolskoe Nikolskoe-na-Cheremshane Nikolsky Nikolsky sign Nikolsky's sign Nikolsky's sign Nikolsky's sign Nikolsky's sign Nikomedeia Nikomedeia Nikon Nikon Nikon Acquisition Syndrome Nikon Chronicle Nikon Color Adjustment Nikon corporation Nikon Electronic File Nikon Historical Society Nikon Integrated Coating Nikon Laser Caddy 500 Nikon Photo Contest International Nikon Precision Europe GmbH Nikon Professional Service Nikon SUPER COOLSCAN 5000 ED Nikopol Nikopol Nikopol Southern Pipe Metallurgical Works Nikopol Stainless Tube Mill

Nikolskii, Sergei Mikhailovich

WORKS

REFERENCE