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A note on almost convex operators and saturation

✍ Scribed by D Cárdenas-Morales; P Garrancho

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 286 KB
Volume: 17
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(04)90109-7

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✦ Synopsis

In this note, we present a result on the saturation of sequences of linear shape preserving operators. Specifically, we deal with a sequence Ln of almost convex operators of order k -1 satisfying an asymptotic formula, and find the trivial class in the saturation problem of the k th derivative of Ln. An application to the well-known modified Meyer-Khnig and Zeller operators is also shown.

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