Abstract interpolation Thiele type fraction
V.L. Makarov, I.I. Demkiv
TL;DR
This paper introduces an abstract continued Thiele type fraction that serves as an interpolation method for nonlinear operators between topological spaces and algebras, unifying various existing fractions.
Contribution
It constructs a generalized Thiele type fraction that interpolates nonlinear operators, encompassing classic and matrix-valued Thiele fractions as special cases.
Findings
Unified framework for Thiele type fractions
Includes classic and matrix-valued fractions as special cases
Provides a new interpolation method for nonlinear operators
Abstract
Abstract continued Thiele type fraction has been constructed, which is an interpolation one for nonlinear operator acting from linear topological space X to algebra Y with a unit. In particular cases it changes into both a classic Thiele faction and a matrix-valued Thiele-type fraction from multiple variables.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Fractional Differential Equations Solutions · Mathematical functions and polynomials