Approximation by Max-Product Interpolation Operators

Barnabás Bede, Lucian Coroianu and Sorin G. Gal
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Barnabás Bede: DigiPen Institute of Technology, Department of Mathematics
Lucian Coroianu: University of Oradea, Department of Mathematics and Computer Science
Sorin G. Gal: University of Oradea, Department of Mathematics and Computer Science

Chapter Chapter 7 in Approximation by Max-Product Type Operators, 2016, pp 281-325 from Springer

Abstract: Abstract In this chapter we study the approximation properties of the following max-product operators of interpolation type: max-product Hermite–Fejér operator on Chebyshev knots of first kind, max-product Lagrange operator on Chebyshev knots of second kind, and max-product Lagrange operator on equidistant and on general Jacobi knots. An important characteristic of the approximation error estimates obtained is that they are all of Jackson-type, thus essentially improving those obtained in approximation by the counterpart linear interpolation operators.

Keywords: Interpolation Operator; Chebyshev Knots; Type Interpolation; Linear Interpolation Polynomial; Approximation Properties (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-34189-7_7

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DOI: 10.1007/978-3-319-34189-7_7

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