Curvilinearity and Orthogonality
Vladimir S. Chelyshkov
TL;DR
This paper introduces various new sequences of orthogonal functions on finite intervals, including rational, exponential, logarithmic functions, and transmuted orthogonal polynomials, expanding the toolkit for approximation and analysis.
Contribution
It presents novel sequences of orthogonal functions, such as proper orthogonal rational functions and transmuted orthogonal polynomials, for the first time.
Findings
New orthogonal function sequences introduced
Potential applications in approximation theory
Enhanced mathematical tools for finite interval analysis
Abstract
We introduce sequences of functions orthogonal on a finite interval: proper orthogonal rational functions, orthogonal exponential functions, orthogonal logarithmic functions, and transmuted orthogonal polynomials
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Taxonomy
TopicsAdvanced Optimization Algorithms Research · Iterative Methods for Nonlinear Equations