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STUDIA MATHEMATICA - Issue no. 4 / 2021 | |||||||
Article: |
BASKAKOV-KANTOROVICH OPERATORS REPRODUCING AFFINE FUNCTIONS. Authors: JORGE BUSTAMANTE. |
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Abstract: DOI: 10.24193/subbmath. 2021.4.11 Published Online: 2021-12-14 Published Print: 2021-12-30 pp. 739-756 VIEW PDF FULL PDF We present a new Kantorovich modification of Baskakov operators which reproduce affine functions. We present an upper estimate for the rate of convergence of the new operators in polynomial weighted spaces and characterize all functions for which there is convergence in the weighted norm. Keywords: Baskakov-Kantorovich operators, polynomial weighted spaces, rate of convergence. Mathematics Subject Classification (2010): 41A35, 41A36. |
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