Order of Approximation by a New Univariate Kantorovich Type Operator

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DOI: https://doi.org/10.28924/2291-8639-21-2023-106
Published: Sep 25, 2023
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Asha Ram Gairola, Nidhi Bisht, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Order of Approximation by a New Univariate Kantorovich Type Operator, Int. J. Anal. Appl., 21 (2023), 106.

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Asha Ram Gairola, Nidhi Bisht, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra

Abstract

In order to approximate Lebesgue integrable functions on [0, 1], a sequence of linear positive integral operators of Kantorovich type Lσ<sσ>f (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.

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