Abstract
We introduce and study new multivariate and univariate Aldaz–Kounchev–Render type operators including their convergence and the asymptotic expansions. We solve also in the positive a conjecture from the very recent paper of Acu A. M., De Marchi S., Rasa I. (Result Math 78(1):21, 2023).
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No new data were created during the study.
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We would like to express our gratitude to the reviewer for his/her very careful reading of the manuscript and many valuable and constructive comments that have improved the final version of the paper.
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Popa , D. New Multivariate and Univariate Aldaz–Kounchev–Render Type Operators. Results Math 79, 71 (2024). https://doi.org/10.1007/s00025-023-02082-3
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DOI: https://doi.org/10.1007/s00025-023-02082-3
Keywords
- Univariate and multivariate positive linear operators
- asymptotic evaluations for univariate and multivariate positive operators
- Bernstein type asymptotic evaluations
- Aldaz-Kounchev-Render type operators