%0 Journal Article %T Lagrange interpolation on the semiaxis. A survey %A Donatella Occorsio %J Journal of Interpolation and Approximation in Scientific Computing %D 2012 %I International Scientific Publications and Consulting Services (ISPACS) %R 10.5899/2012/jiasc-00009 %X In this brief survey are collected some recent results about optimal interpolation processes of Lagrange type based on the zeros of {it generalized Laguerre polynomials}, i.e. the sequence of orthogonal polynomials ${p_m(w_alpha)}_m$ where $w_alpha(x)=e^{-x^eta}x^alpha.$ A new extended Lagrange process having optimal Lebesgue constants is also introduced. %K Lagrange Interpolation %K Orthogonal Polynomials %K Approximation by polynomials %U http://www.ispacs.com/journals/jiasc/2012/jiasc-00009/article.pdf