Uniqueness property for quasiharmonic functions

Sevdiyor A. Imomkulov, Zafar Sh. Ibragimov

Abstract


In this paper we consider a class of continuous functions, called quasiaharmonic functions, admitting best approximations by harmonic polynomials. In this class we prove a uniqueness theorem by analogy with the analytic functions.


Keywords


Harmonic polynomials, quasiaharmonic functions, polynomial approximations, N – sets, regular compacts.

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DOI: http://dx.doi.org/10.1478/AAPP.92S1A2

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