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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| Autores principales: | , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
MDPI AG
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/16542b7d8f224a1d83eafea99b97a743 |
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| Sumario: | 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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