Интерполяция и приближение р-адическими сплайнами непрерывной функции действующей из Zp В Qp

Abstract

The article is devoted to approximation of a continuous p-adic function of p-adic argument by splines of the form Ln (x) = x-xn where their parameters are defined from interpolation relations with respect to the approximated function. A theorem of uniform approximation of the function by splines is proved.