Preserving properties of some Szasz-Mirakyan type operators

Preserving properties of some Szasz-Mirakyan type operators

For a family of Szasz-Mirakyan type operators we prove that they preserve convex-type functions and that a monotonicity property verified by Cheney and Sharma in the case Szasz-Mirakyan operators holds for the variation study here. We also verify that several modulus of continuity are preserved.

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Veröffentlicht in:Journal of numerical analysis and approximation theory 2024-07, Vol.53 (1), p.65-79
1. Verfasser: Bustamante, Jorge
Format: Artikel
Sprache:eng
Schlagworte:
positive linear operator
shape preserving properties
Szasz-Mirakyan type operators
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Zusammenfassung:For a family of Szasz-Mirakyan type operators we prove that they preserve convex-type functions and that a monotonicity property verified by Cheney and Sharma in the case Szasz-Mirakyan operators holds for the variation study here. We also verify that several modulus of continuity are preserved.
ISSN:2457-6794
2501-059X
DOI:10.33993/jnaat531-1408