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Introduction

Radu Păltănea
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Radu Păltănea: Transilvania University, Department of Mathematics

Chapter 1 in Approximation Theory Using Positive Linear Operators, 2004, pp 1-14 from Springer

Abstract: Abstract The most constructive proofs of the Weierstrass theorem concerning the approximation of continuous functions on a compact interval by polynomials use some sequences of linear positive operators. So do the classical operators of Gauss—Weierstrass, Landau, Vallée-Poussin, Jackson, and Bernstein. We begin by constructing and studying a large class of such sequences of approximation operators.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2058-9_1

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DOI: 10.1007/978-1-4612-2058-9_1

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