Approximation and Shape-Preserving Properties of $Q$-Stancu Operator

Approximation and Shape-Preserving Properties of $Q$-Stancu Operator

Year:    2011

Author:    Lianying Yun, Rongwei Wang

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 3 : pp. 201–210

Abstract

We introduce the definition of $q$-Stancu operator and investigate its approximation and shape-preserving property. With the help of the sign changes of $f (x)$ and $L_n = f ( f ,q;x)$ the shape-preserving property of $q$-Stancu operator is obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.1007/s10496-011-0201-9

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 3 : pp. 201–210

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    $q$-Stancu operator shape-preserving property sign change.

Author Details

Lianying Yun

Rongwei Wang

  1. On the eigenstructure of the q-Stancu operator

    Gürel Yılmaz, Övgü

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