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ON GENERALIZATION OF SUMMATION- INTEGRAL OPERATORS | ||
| Journal of Basrah Researches (Sciences) | ||
| Article 1, Volume 35, Issue 2, 2009, Pages 41-48 PDF (0 K) | ||
| Author | ||
| Amal K. Hassan | ||
| Abstract | ||
| In this paper, we introduce and study some direct results in simultaneous approximation for a generalization of Summation –Integral Szasz type operator . First, we establish the basic pointwise convergence theorem and then proceed to discuss the Voronovaskaja-type asymptotic formula. Finally, we obtain an error estimate in terms of modulus of continuity of the function being approximated. | ||
| Keywords | ||
| Linear positive operators; Simultaneous approximation; Voronovaskaja; type asymptotic formula; Degree of approximation; Modulus of continuity | ||
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