COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol.63, no.2, pp.181-188, 2010 (SCI-Expanded)
In this paper we give some approximation results related to the classical Korovkin-type theorem for positive linear operators using matrix summability method which includes both convergence and almost convergence. This approach is motivated by the works of DUMAN, KHAN and ORHAN [(4)]. We also study rates of convergence by means of the modulus of continuity and elements of the Lipschitz class.