Voronovskaya type asymptotic approximation by modified Gamma operators
Abstract In this paper we deal with the following modified Gamma operators A n ( f ; x ) = ∫ 0 ∞ K n ( x , t ) f ( t ) dt , defined for any f for which the last integral is convergent, where K n ( x , t ) = ( 2 n + 3 ) ! n ! ( n + 2 ) ! · t n · x n + 3 ( x + t ) 2 n + 4 , x , t ∈ ( 0 , ∞ ) . We study some direct results in asymptotic approximation.
On general Gamma-Taylor operators on weighted spaces
In the present paper we consider new operators by combining general Gamma type operators and Taylors polynomials. We establish convergence properties of these operators in weighted spaces. MSC: 41A25 • 40A35 • 41A36
Net Spaces in Categorical Topology a
In the paper we introduce the notion of S‐nets, S a nonempty construct, as a generalization of the usual nets. S‐net spaces and continuous maps between them are then defined in a natural way. For S‐net spaces we introduce a number of axioms and study the categories obtained. We find some topological and Cartesian closed categories of S‐net spaces and describe their relations to certain known topological categories.