Korovkin’s Linear Operators and Approximation Theory

The development of the approximation theory has assisted development in other domains and set the course of completely new directions in mathematics. The approximation theory has a close relationship with functional analysis. In fact, all well-known methods of approximation of functions by means of algebraic or trigonometric polynomials (which are partial sum of Taylor series, interpolating polynomials, Bernstein and Landau polynomials, partial sums of Fourier series, etc.) are linear operators. A successive construction of such a point of view distinguishes the present book from other well-known monographs on approximation theory. This edition has been edited and updated in LaTeX by Dr. Asha Ram Gairola of Doon University to amend some corrections in the original Russian translation as well as introduce minor improvements in the contents.