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In this paper, we consider the complex form of a new generalization of the Bernstein operator, depending on a non-negative real parameter. We obtain quantitative upper estimate for simultaneous approximation,… Click to show full abstract
In this paper, we consider the complex form of a new generalization of the Bernstein operator, depending on a non-negative real parameter. We obtain quantitative upper estimate for simultaneous approximation, a qualitative Voronovskaja type result and the exact order of approximation. Also, we present some shape preserving properties of the complex $$\alpha $$α-Bernstein operator such as univalence, starlikeness, convexity and spirallikeness.
Keywords:
alpha bernstein;
complex alpha;
properties complex;
bernstein;
bernstein operator
Journal Title: Results in Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!