Discretization. Direct and Inverse Theorems of Approximation Theory

Roald M. Trigub and Eduard S. Bellinsky
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Roald M. Trigub: Donetsk National University
Eduard S. Bellinsky: University of West Indies

Chapter Chapter 4 in Fourier Analysis and Approximation of Functions, 2004, pp 105-199 from Springer

Abstract: Abstract What may be referred to as discretization is replacing an integral by its Riemann integral sums, substituting a function by the interpolation series, passing from an infinite-dimensional space (of functions) to a finite-dimensional space (of polynomials, splines, etc.), and the like

Keywords: Entire Function; Trigonometric Polynomial; Exponential Type; Algebraic Polynomial; Network Norm (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4020-2876-2_4

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