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Chapter 1. Introduction

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition

Mergelyan’s approximation theorem with nonvanishing polynomials and universality of zeta-functions

JOURNAL ARTICLE published March 2013 in Journal of Approximation Theory

Authors: Johan Andersson

On collocation matrices for interpolation and approximation

JOURNAL ARTICLE published October 2013 in Journal of Approximation Theory

Research funded by Air Force Office of Scientific Research (FA9550-09-1-0511) | Korean Federation of Science and Technology Societies (121S-1-3-0407) | Ministry of Education, Science and Technology (2009-0093827) | National Science Foundation (DMS-1115523)

Authors: Yeon Ju Lee | Charles A. Micchelli

Piecewise Chebyshev–Schoenberg operators: Shape preservation, approximation and space embedding

JOURNAL ARTICLE published February 2013 in Journal of Approximation Theory

Authors: Marie-Laurence Mazure

Diophantine approximation and beta-expansions over the field of formal Laurent series

JOURNAL ARTICLE published October 2013 in Journal of Approximation Theory

Research funded by Fund of Chongqing Normal University (11XLB033,12XLZ02)

Authors: Meiying Lü

Chapter 17. Orthogonal Polynomials

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition

Chapter 21. Spectral Methods

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition

Chapter 9. Gibbs Phenomenon

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition

Chapter 15. Lebesgue Constants

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition

The restricted isometry property meets nonlinear approximation with redundant frames

JOURNAL ARTICLE published January 2013 in Journal of Approximation Theory

Research funded by EU FP7 FET-Open programme (225913)

Authors: Rémi Gribonval | Morten Nielsen

On bounds for monotonic first order differential systems and the Liouville–Green approximation

JOURNAL ARTICLE published June 2013 in Journal of Approximation Theory

Research funded by Ministerio de Ciencia e Innovación (MTM2009-11686)

Authors: Javier Segura

Nonlinear Approximation Theory (Dietrich Braess)

JOURNAL ARTICLE published March 1990 in SIAM Review

Authors: Frank Deutsch

Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error

JOURNAL ARTICLE published November 2013 in Journal of Approximation Theory

Research funded by National Natural Science Foundation of China (11126343) | Guangxi Natural Science Foundation (2013GXNSFBA019010)

Authors: Youfa Li

Estimates for continuity envelopes and approximation numbers of Bessel potentials

JOURNAL ARTICLE published August 2013 in Journal of Approximation Theory

Research funded by Russian Foundation for Basic Research (08-01-00443,09-01-00093)

Authors: Mikhail L. Goldman | Dorothee D. Haroske

Chapter 5. Barycentric Interpolation Formula

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition

Chapter 25. Two Famous Problems

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition

Chapter 11. Hermite Integral Formula

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition

Asymptotic diagonalization of matrix systems

JOURNAL ARTICLE published July 2013 in Journal of Approximation Theory

Authors: R.J. Kooman

Regularization networks with indefinite kernels

JOURNAL ARTICLE published February 2013 in Journal of Approximation Theory

Research funded by NNSF of China (11101403)

Authors: Qiang Wu

Chapter 16. Best and Near-Best

BOOK CHAPTER published January 2019 in Approximation Theory and Approximation Practice, Extended Edition