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Composition of integral-type operators and discrete operators involving Laguerre polynomials
In this note we provide a new way to capture operators involving Laguerre polynomials by composition of an integral operator and a discrete operator. The new operator so obtained is a discrete operator. We give three examples by considering composition of Szász-Durrmeyer operator, exponential-type o...
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Published in: | Positivity : an international journal devoted to the theory and applications of positivity in analysis 2024-07, Vol.28 (3), p.39, Article 39 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | In this note we provide a new way to capture operators involving Laguerre polynomials by composition of an integral operator and a discrete operator. The new operator so obtained is a discrete operator. We give three examples by considering composition of Szász-Durrmeyer operator, exponential-type operator related to
2
x
3
/
2
and the Phillips operator, respectively, with Szász-Mirakyan operators. In all cases we obtain positive linear, discretely defined operators which are based on Laguerre polynomials and approximate functions on the positive real half-axis. |
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ISSN: | 1385-1292 1572-9281 |
DOI: | 10.1007/s11117-024-01058-z |