论文信息 - p-Adic interpolation and approximation of a continuous function by linear combinations of shifts of p-adic valuations

p-Adic interpolation and approximation of a continuous function by linear combinations of shifts of p-adic valuations

In this work, questions about interpolation and approximation of a continuous function f : Zp → R (f : Zp → Qp) by functions of the form Σk=1N λk|x-xk|p are discussed. The theorem about uniform approximation of a continuous function f : Zp → R is proved. Nonexistence of such approximation for a Qp-valued function is shown.

Andrei Khrennikov | Aliaksandr Radyna

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