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STUDIA MATHEMATICA - Issue no. 2 / 2023 | |||||||
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STATISTICAL KOROVKIN-TYPE THEOREM FOR MONOTONE AND SUBLINEAR OPERATORS. Authors: IONUȚ T. IANCU. |
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Abstract: DOI: 10.24193/subbmath.2023.2.14 Received 18 April 2022; Accepted 05 February 2023.. Published Online: 2023-06-14 Published Print: 2023-07-30 pp. 399-408 VIEW PDF FULL PDF In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a; b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples. Mathematics Subject Classification (2010): 41A35, 41A36, 41A63. Keywords: Korovkin-type theorems, monotone and sublinear operator, nonlinear Choquet integral, statistical convergence. |
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