Some New Results on Bicomplex Bernstein Polynomials
The aim of this work is to consider bicomplex Bernstein polynomials attached to analytic functions on a compact <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="double-struck"&...
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| Auteurs principaux: | , , , |
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| Format: | article |
| Langue: | EN |
| Publié: |
MDPI AG
2021
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/16542b7d8f224a1d83eafea99b97a743 |
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| Résumé: | The aim of this work is to consider bicomplex Bernstein polynomials attached to analytic functions on a compact <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="double-struck">C</mi><mn>2</mn></msub></semantics></math></inline-formula>-disk and to present some approximation properties extending known approximation results for the complex Bernstein polynomials. Furthermore, we obtain and present quantitative estimate inequalities and the Voronovskaja-type result for analytic functions by bicomplex Bernstein polynomials. |
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