A Modification of Szãsz Operators with Two Variables | ||
| Journal of Univesity of Thi-Qar | ||
| Article 1, Volume 9, Issue 2, June 2014, Pages 1-7 | ||
| Authors | ||
| Hasan A. Naser; Evan A. Huzzam | ||
| Abstract | ||
| In the present paper, we introduce a modification of the Summation Szãsz type operators denoted by S_(n,m) (f;x,y), where f∈C_(α,γ) ([0,∞)×[0,∞)) (the space of all continuous functions on the area ([0,∞)×[0,∞))and x,y∈[0,∞) are two independent variables. First, we discuss the converges of this operator to the functionf(t,u)∈C_(α,γ). Then, we establish a Voronovskaja-type asymptotic formula for the operator S_(n,m) (f;x,y). | ||
| Keywords | ||
| Linear Positive Operator; Simultaneous approximation; Voronovskaja; type asymptotic formula; Degree of approximation; Modulus of continuity; Mathematics Subject Classification | ||
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