Uniqueness property for quasiharmonic functions

Autori

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

DOI:

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

Parole chiave:

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.

Biografia autore

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

Dowloads

File supplementari

Pubblicato

2014-10-26

Fascicolo

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

Sezione

PISRS: Analysis, Differential Geometry and Mechanics

Licenza

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).