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Simultaneous Approximation By Generalization of Szãsz Type Operators | ||
| basrah journal of science | ||
| Article 18, Volume 34, Issue 2, 2016, Pages 169-182 PDF (0 K) | ||
| Author | ||
| HASAN Ali NASER | ||
| Abstract | ||
| In the present paper, we introduce a generalization of the Summation-Integral Szãsz type operators denoted by S ̃_(n,p) (f(t);x). First, we prove the convergence theorem for the operator. Then, we find a recurrence relation of the m-th order moment for the operator S ̃_(n,p) (f(t);x). Finally, we give a Voronovskaja-type asymptotic formula and an error estimate in terms of modulus of continuity of the function being approximate | ||
| Keywords | ||
| Linear Positive Operator; Simultaneous approximation; Voronovskaja; type asymptotic formula; Degree of approximation; Modulus of continuity; Mathematics Subject Classification | ||
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