Density in Approximation Theory
Allan Pinkus
Abstract
Approximation theory is concerned with the ability to approximate functions by simpler and more easily calculated functions. The first question we ask in approximation theory concerns the possibility of approximation. Is the given family of functions from which we plan to approximate dense in the set of functions we wish to approximate? In this work we survey some of the main density results and density methods.
Create a lesson
Related papers
Poisson area and non-tangential maximal functions on manifolds with ends and applications
Peng Chen, Ji Li, Lixin Yan
Bounds for Orthogonal Expansion Coefficients via Weighted Primitives
Vladimir Sluchak
One-Sided Hardy--Littlewood Maximal Operators on Variable Lebesgue Spaces Beyond Log-Hölder Continuity
Lucas A. Vallejos
Lecture note on Fourier decoupling theory and its applications
Yudong Liang
Hyperplane Furstenberg Sets in Higher Dimensions
Peiqi Nie
Characterization of the group Fourier transform of Hilbert space Valued functions
Satyajyoti Achar, Md Hasan Ali Biswas, Ramesh Manna