Uniqueness property for quasiharmonic functions

Authors

  • Sevdiyor A. Imomkulov Navoi State Pedagogical Institute
  • Zafar Sh. Ibragimov Urgench State University

DOI:

https://doi.org/10.1478/AAPP.92S1A2

Keywords:

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

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.

Author Biography

  • Zafar Sh. Ibragimov, Urgench State University
    Math. department
Archimede by Domenico Fetti (1620)

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Published

2014-10-26

Issue

Vol 92, SUPPLEMENT NO 1 (2014): PISRS Proceedings (Part III)

Section

PISRS: Analysis, Differential Geometry and Mechanics

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