%0 Journal Article %T Korovkin-type Theorems and Approximation by Positive Linear Operators %A Francesco Altomare %J Surveys in Approximation Theory %D 2010 %I %X This survey paper contains a detailed self-contained introduction to Korovkin-type theorems and to some of their applications concerning the approximation of continuous functions as well as of L_p-functions, by means of positive linear operators. The paper also contains several new results and applications. Moreover, the organization of the subject follows a simple and direct approach which quickly leads both to the main results of the theory and to some new ones. %K Korovkin-type theorem %K positive operator %K approximation by positive operators %K Stone-Weierstrass theorem %K (weighted) continuous function space %K Lp-space. %U http://www.math.technion.ac.il/sat/papers/13/13.pdf