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Approximation by q-Szãsz-Mirakjan Operators | ||
| basrah journal of science | ||
| Article 1, Volume 31, Issue 1, 2013, Pages 87-98 PDF (0 K) | ||
| Authors | ||
| and Hussein Kh. Ghadhban; Ali J. Mohammad | ||
| Abstract | ||
| In this paper, we introduce and study a new type ofq-Szãsz Mirakjan operators W_n (f,q_n;x)in the caseq_n∈(0,1). First, we prove that these operators are converging to the function being approximated. Then, we define the m-th order ofq-moments and find a recurrence relation for these q-moments. Finally, we prove Voronovskaja-type asymptotic formulas for the operatorsW_n (f,q_n;x). | ||
| Keywords | ||
| integers; Mirakjan operators; positive linear operators; Voronovskaja; type asymptotic formula | ||
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