Algorithm for determining the coefficients of the interpolation polynomial of Newton with separated differences
N A NiyozmatovaTashkent University Information Technologies named after Al-Kharezmi, Tashkent, UzbekistanNarzillo MamatovTashkent University Information Technologies named after Al-Kharezmi, Tashkent, UzbekistanAbdurashid SamijonovTashkent University Information Technologies named after Al-Kharezmi, Tashkent, UzbekistanBakhtiyor AbdukadirovTashkent University Information Technologies named after Al-Kharezmi, Tashkent, UzbekistanB M AbdullayevaNamangan State University, Namangan, Uzbekistan
ABI
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Abstract The article considers the problem of determining the coefficients of the Newton interpolation polynomial with separated differences. To solve this problem, a scheme, a tabular method and an algorithm for determining the coefficients without simplification and disclosure of brackets that arise when constructing polynomials by the Newton method are proposed. Based on this tabular method, approximation and interpolation problems can also be solved.
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