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The Eigenstructure of the Bernstein Operator

✍ Scribed by Shaun Cooper; Shayne Waldron


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
227 KB
Volume
105
Category
Article
ISSN
0021-9045

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## Abstract The limit __q__‐Bernstein operator __B__~__q__~ emerges naturally as an analogue to the Szász–Mirakyan operator related to the Euler distribution. Alternatively, __B__~__q__~ comes out as a limit for a sequence of __q__‐Bernstein polynomials in the case 0<__q__<1. Lately, different prop

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In this paper, we establish two basic functional-type identities between the iterates of the Bleimann᎐Butzer᎐Hahn operator and those of the Bernstein Ž . operator, on the one hand, and the iterates of the modified Meyer᎐Konig and Zeller operator and those of the Baskakov operator, on the other. Thes