Approximation by nonlinear Fourier Basis in generalized Holder spaces
Hatice Aslan, Ali Guven
TL;DR
This paper estimates how well functions can be approximated by nonlinear Fourier bases in generalized Holder spaces, providing bounds on the deviation in uniform and Holder norms.
Contribution
It introduces new approximation estimates for functions using nonlinear Fourier systems within generalized Holder spaces.
Findings
Deviation bounds in uniform norm
Deviation bounds in generalized Holder norm
Enhanced understanding of nonlinear Fourier approximation
Abstract
In this paper, the value of deviation of a function f from its nth generalized de la Vallee-Poussin mean with respect to the nonlinear trigonometric system is estimated for the classes of 2 pi-periodic functions in the uniform norm and in the generalized Holder norm .
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical Approximation and Integration · Mathematical functions and polynomials