Order of Approximation by a New Univariate Kantorovich Type Operator

Order of Approximation by a New Univariate Kantorovich Type Operator

In order to approximate Lebesgue integrable functions on [0, 1], a sequence of linear positive integral operators of Kantorovich type Lσf (x) with a parameter sσ is introduced. The estimates for rates of approximation for functions with a specific smoothness are proved using the appropriate modulus...

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Veröffentlicht in:International journal of analysis and applications 2023-01, Vol.21, p.106-106
Hauptverfasser: Gairola, Asha Ram, Bisht, Nidhi, Rathour, Laxmi, Mishra, Lakshmi Narayan, Mishra, Vishnu Narayan
Format: Artikel
Sprache:eng
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Zusammenfassung:In order to approximate Lebesgue integrable functions on [0, 1], a sequence of linear positive integral operators of Kantorovich type Lσf (x) with a parameter sσ is introduced. The estimates for rates of approximation for functions with a specific smoothness are proved using the appropriate modulus of continuity.
ISSN:2291-8639
2291-8639
DOI:10.28924/2291-8639-21-2023-106