Hladun V. Stability analysis to perturbations of branched continued fractions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U003104

Thesis Registration Form

0407U003104.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

15-06-2007

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

We construct the sets of stability to perturbations of infinite branched continued fractions (BCF) with positive elements. We investigate the stability to perturbations of BCF with real elements, in particular, with the negative and alternating elements, as well as some subsequences of their approximants. We construct the sets of stability to perturbations, in particular, the multidimensional sets, of BCF of the general and special form with complex elements. We establish the estimates errors of approximants of BCF.

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Files

aref.pdf

dis.pdf

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