Abstract:
Some fundamental ideas and the results of approximation theory based on them are reviewed. The review covers the development of this branch of mathematics from its origins to the end of the 20th century.
Citation:
V. M. Tikhomirov, “Three Stages in the Development of Approximation Theory”, Approximation Theory, Functional Analysis, and Applications, Collected papers. On the occasion of the 70th birthday of Academician Boris Sergeevich Kashin, Trudy Mat. Inst. Steklova, 319, Steklov Math. Inst., Moscow, 2022, 7–19; Proc. Steklov Inst. Math., 319 (2022), 1–12
\Bibitem{Tik22}
\by V.~M.~Tikhomirov
\paper Three Stages in the Development of Approximation Theory
\inbook Approximation Theory, Functional Analysis, and Applications
\bookinfo Collected papers. On the occasion of the 70th birthday of Academician Boris Sergeevich Kashin
\serial Trudy Mat. Inst. Steklova
\yr 2022
\vol 319
\pages 7--19
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4273}
\crossref{https://doi.org/10.4213/tm4273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4563380}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2022
\vol 319
\pages 1--12
\crossref{https://doi.org/10.1134/S0081543822050017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85148461467}