Simultaneous Approximation by a New Sequence of Integral Type Based on Two Parameters
DOI:
https://doi.org/10.24996/ijs.2021.62.5.29Keywords:
Positive and linear operators, Simultaneous approximation, Voronovskaja-type asymptotic formula, order of approximation and Korovkin’s theoremAbstract
This paper introduces a generalization sequence of positive and linear operators of integral type based on two parameters to improve the order of approximation. First, the simultaneous approximation is studied and a Voronovskaja-type asymptotic formula is introduced. Next, an error of the estimation in the simultaneous approximation is found. Finally, a numerical example to approximate a test function and its first derivative of this function is given for some values of the parameters.
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Published
2021-05-31
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Section
Mathematics
How to Cite
Simultaneous Approximation by a New Sequence of Integral Type Based on Two Parameters. (2021). Iraqi Journal of Science, 62(5), 1666-1674. https://doi.org/10.24996/ijs.2021.62.5.29
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