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The Voronovskaya Theorem for q-Analogue of Szasz-Mirakjan Operators | ||
| Journal of Basrah Researches (Sciences) | ||
| Article 1, Volume 39, Issue 4, 2013, Pages 58-66 PDF (0 K) | ||
| Author | ||
| ALI J. MOHAMMAD and RIHAB R. ABDUL-RAZAQ | ||
| Abstract | ||
| In this present paper, we define q-Analogue sequence of Szasz-Mirakjan Operators R_(n,q)(f,x) and introduce some direct results of these operators. First, we show that this sequence of operators R_(n,q)(f,x) converges to f(x) as n tends to ∞. Also, we defined the m^th order moment T_(n,m)(x) for R_(n,q)(f,x) and we then find a recurrence relation for T_(n,m)(x). Finally ,we find and prove a Voronovskaya –type asymptotic formula of this operator. | ||
| Keywords | ||
| Szasz; Mirakjan Operators; linear positive operators; th order moment and Voronovskaya | ||
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