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OALib Journal期刊
ISSN: 2333-9721
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Simultaneous approximation by a new sequence of Sz?sz-beta type operators

Keywords: linear positive operators, simultaneous approximation, voronovaskaja-type asymptotic formula, degree of approximation, modulus of continuity.

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Abstract:

in this paper, we study some direct results in simultaneous approximation for a new sequence of linear positive operators of sz?sz-beta type operators. 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.

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