If a function f(x) is a continuous function in the argument \(x\in [a,b]\) over the whole interval, then it has a representation in the form of (2.13), with a basis \(\{\psi _{K}\}_{1}^{\infty }\) consisting of continuous smooth functions defined on the same interval.

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Interpolation  of Discrete Data

  • George Delic

摘要

If a function f(x) is a continuous function in the argument \(x\in [a,b]\) over the whole interval, then it has a representation in the form of (2.13), with a basis \(\{\psi _{K}\}_{1}^{\infty }\) consisting of continuous smooth functions defined on the same interval.