Composition of some positive linear integral operators
Abstract: This article is devoted to constructing sequences of integral operators with the same Voronovskaja formula as the generalized Baskakov operators, but having different behavior in other respects. For them, we investigate the eigenstructure, the inverses, and the corresponding Voronovskaja type formulas. A general result of Voronovskaja type for composition of operators is given and applied to the new operators. The asymptotic behavior of differences between the operators is investigated, and as an application, we obtain a formula involving Euler’s gamma function.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Composition of some positive linear integral operators ; volume:57 ; number:1 ; year:2024 ; extent:14
Demonstratio mathematica ; 57, Heft 1 (2024) (gesamt 14)
- Creator
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Acu, Ana-Maria
Rasa, Ioan
Sofonea, Florin
- DOI
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10.1515/dema-2024-0018
- URN
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urn:nbn:de:101:1-2410021543552.207249472821
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:38 AM CEST
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Associated
- Acu, Ana-Maria
- Rasa, Ioan
- Sofonea, Florin
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