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On Baskakov-Szasz Type Operators
Vijay Gupta,Prerna Maheshwari 경북대학교 자연과학대학 수학과 2003 Kyungpook mathematical journal Vol.43 No.3
Baskakov-Szasz type operators were recently introduced by Gupta and Srivastava in 1993. They obtained direct theorems in simultaneous approximation for the linear combinations of these new sequence of operators. In the present paper, we extend the results of Gupta and Srivastava and obtain a converse result for the linear combinations of these Baskakov-Szasz type operators.
On the Micchelli combinations of modified beta operators
Diwaker Sharma,Om Prakash,Prerna Maheshwari 장전수학회 2012 Proceedings of the Jangjeon mathematical society Vol.15 No.4
In the present paper, we study modified Beta operator with the weight function of Baskakov basis function. We extend the result of [3] and study simultaneous approximation properties of these operators, we estimate the local direct result in terms of modulus of continuity. Here we improve the order of approximation for these operators by applying iterative condition. We also establish an asymptotic formula and error estimate in terms of higher order modulus of continuity in simultaneous approximation for the iterative combinations (see also [9]) of these operators.