Abstract
In this paper we consider a link B_{n,rho } between Baskakov type operators B_{n,infty } and genuine Baskakov–Durrmeyer type operators B_{n,1} depending on a positive real parameter rho . The topic of the present paper is the pointwise limit relation left( B_{n,rho }fright) left( xright) rightarrow left( B_{n,infty }fright) left( xright) as rho rightarrow infty for xge 0. As a main result we derive uniform convergence on each compact subinterval of the positive real axis for all continuous functions f of polynomial growth.
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