On Lupaş-Jain operators

Authors

  • Gülen Başcanbaz-Tunca Ankara University
  • Murat Bodur Ankara University
  • Dilek Söylemez Ankara University

DOI:

https://doi.org/10.24193/subbmath.2018.4.08

Keywords:

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

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.

Author Biographies

  • Gülen Başcanbaz-Tunca, Ankara University
    Faculty of Science Department of Mathematics, Ph.D.
  • Murat Bodur, Ankara University
    Faculty of Science Department of Mathematics, Ph.D. Student
  • Dilek Söylemez, Ankara University
    Elmadag Vocational School, Ph.D.

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2018-12-08

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