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 mathematician whose main fields of research were orthogonal polynomials, approximation theory and potential theory. In 1947 he proved a generalization of Egorov's theorem: 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.