Hua-sheng ZHENG, Wan-yuan MING, Da-ming YUAN. Application of Newton Interpolation with Multiple Nodes in Calculus[J]. Journal of nanchang hangkong university(Natural science edition), 2023, 37(4): 52-55, 65. DOI: 10.3969/j.issn.2096-8566.2023.04.007
Citation: Hua-sheng ZHENG, Wan-yuan MING, Da-ming YUAN. Application of Newton Interpolation with Multiple Nodes in Calculus[J]. Journal of nanchang hangkong university(Natural science edition), 2023, 37(4): 52-55, 65. DOI: 10.3969/j.issn.2096-8566.2023.04.007
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Application of Newton Interpolation with Multiple Nodes in Calculus

    Abstract
  • Through the original problem of transforming the integral upper limit function, the auxiliary function has been determined based on the divided difference table with multiple nodes and the Newton interpolation polynomial. A class of equalities in calculus with mean value have been constructed and compiled, and several propositions have been obtained.
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