Quantitative estimates of convergence in nonlinear operator extensions of Korovkin's theorems
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913317460639744 |
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| author | Gal, Sorin G. Niculescu, Constantin P. |
| author_facet | Gal, Sorin G. Niculescu, Constantin P. |
| contents | This paper is aimed to prove a quantitative estimate (in terms of the modulus of continuity) for the convergence in the nonlinear version of Korovkin's theorem for sequences of weakly nonlinear and monotone operators defined on spaces of continuous real functions. Several examples illustrating the theory are included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_04779 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantitative estimates of convergence in nonlinear operator extensions of Korovkin's theorems Gal, Sorin G. Niculescu, Constantin P. Functional Analysis 41A35, 41A36, 41A63 This paper is aimed to prove a quantitative estimate (in terms of the modulus of continuity) for the convergence in the nonlinear version of Korovkin's theorem for sequences of weakly nonlinear and monotone operators defined on spaces of continuous real functions. Several examples illustrating the theory are included. |
| title | Quantitative estimates of convergence in nonlinear operator extensions of Korovkin's theorems |
| topic | Functional Analysis 41A35, 41A36, 41A63 |
| url | https://arxiv.org/abs/2302.04779 |