On Approximation Properties of q-King Operators

Zoltán Finta ()
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Zoltán Finta: Babeş-Bolyai University

A chapter in Topics in Mathematical Analysis and Applications, 2014, pp 343-362 from Springer

Abstract: Abstract Based on q-integers we introduce the q-King operators which approximate each continuous function on [0, 1] and preserve the functions e 0(x) = 1 and e j (x) = x j . We also construct a q-parametric sequence of polynomial bounded positive linear operators possessing similar properties. In both cases the rate of convergence is estimated with the aid of the modulus of continuity.

Keywords: q-integers; q-Bernstein operators; q-King operators; q-derivative; positive linear operators; Korovkin type theorem; ordered normed space; modulus of continuity (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-06554-0_14

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DOI: 10.1007/978-3-319-06554-0_14

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