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Weighted approximation of functions in Lp-norm by Baskakov-Kantorovich operator

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We investigate the weighted approximation of functions in Lp-norm by Kantorovich modifications of the classical Baskakov operator, with weights of type (1+x)α, α ∈ ℝ. By defining an appropriate K-functional we prove direct inequalities for them.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Sofia, 5 James Bourchier Blvd., 1164, Sofia, Bulgaria

    P. E. Parvanov

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  1. P. E. Parvanov
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Correspondence to P. E. Parvanov.

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Parvanov, P.E. Weighted approximation of functions in Lp-norm by Baskakov-Kantorovich operator. Anal Math 46, 821–842 (2020). https://doi.org/10.1007/s10476-020-0059-1

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  • DOI: https://doi.org/10.1007/s10476-020-0059-1

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