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m-adic multivariate linear splines and their applications to approximation theory

DOI: 10.1016/s0304-0208(04)80173-7
  • M-Adic Linear Spline
  • Approximation
  • Interpolation
  • M-Adic Numbers
  • 11D88
  • 11J17


Abstract Let m be an integer greater then 1 and ℤm be a ring of m-adic integers. Let f be a continuous function acting from ℤmr to real numbers. By the function we introduce an m-adic linear spline which is interpolate f in given points. It is shown that the spline approximates f uniformly.

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