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- W4281609478 abstract "By using generalized divided differences, we study the simultaneous interpolation of an m times continuously differentiable function and its derivatives up to a fixed order in a topological field K. If K is a valued field, then simultaneous Hermite interpolation and approximation are considered. Newton interpolating series are used in the case of an infinite number of conditions of interpolation. Applications to the numerical approximation of variational problems, the solution of a functional equation and, in the case of p-adic fields, the representation of solutions of a boundary value problem for an equation of the Fuchsian type illustrate the efficiency of the theoretical results." @default.
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- W4281609478 date "2022-05-29" @default.
- W4281609478 modified "2023-09-26" @default.
- W4281609478 title "Full Hermite Interpolation and Approximation in Topological Fields" @default.
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- W4281609478 doi "https://doi.org/10.3390/math10111864" @default.
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