On Lupaş-Jain operators

Gülen Başcanbaz-Tunca, Murat Bodur, Dilek Söylemez

Abstract


In this paper, linear positive Lupaş-Jain operators are constructed and a recurrence formula for the moments is given. For the sequence of these operators; the weighted uniform approximation, also, monotonicity under convexity are obtained. Moreover, a preservation property of each Lupaş-Jain operator is presented.

Keywords


Lupaş operator; Jain operator; convexity; weighted uniform approximation; modulus of continuity function

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DOI: http://dx.doi.org/10.24193/subbmath.2018.4.08

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