Recovery of function from noisy Fourier coefficients with respect to the Haar system

DOI10.1080/00207160.2015.1071800zbMath1354.42007OpenAlexW2335791938MaRDI QIDQ2957751

Kosnazar K. Sharipov

Publication date: 27 January 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1071800

zbMATH Keywords

Haar systemTikhonov regularizationill-posed problemFourier series: noisy coefficientssummation-method

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Regularization theory for ill-posed problems. Selected topics
• Stable summation of orthogonal series with noisy coefficients.
• Summation of smooth functions of two variables with perturbed Fourier coefficients
• On the recovery of continuous functions from noisy Fourier coefficients
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

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