Eigenstructure and Voronovskaja type formula for a sequence of integral operators

Motronea, Gabriela; Steopoaie, Ancuţa Emilia

doi:10.2478/gm-2022-0012

General Mathematics

2022

DOI: 10.2478/gm-2022-0012

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Eigenstructure and Voronovskaja type formula for a sequence of integral operators

Gabriela Motronea,

Ancuţa Emilia Steopoaie

Abstract: The composition ℱ n of Rathore and Gamma operators was considered in the literature. We introduce a generalization of ℱ n . For it we determine the eigenstructure and establish the corresponding Voronovskaja type formula.

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2024

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Composition of some positive linear integral operators

Acu,

Rasa,

Sofonea

2024

Demonstratio Mathematica

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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.

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Composition of some positive linear integral operators

Acu,

Rasa,

Sofonea

2024

Demonstratio Mathematica

View full text Add to dashboard Cite

show abstract

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Eigenstructure and Voronovskaja type formula for a sequence of integral operators

Abstract: The composition ℱ n of Rathore and Gamma operators was considered in the literature. We introduce a generalization of ℱ n . For it we determine the eigenstructure and establish the corresponding Voronovskaja type formula.

Cited by 1 publication

References 4 publications

Composition of some positive linear integral operators

Composition of some positive linear integral operators

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