| 期刊全称 | Approximation by Max-Product Type Operators | | 影响因子2023 | Barnabás Bede,Lucian Coroianu,Sorin G. Gal | | 视频video | | | 发行地址 | Presents a broad treatment of so-called "max-product" type operators.Discusses the analogy between the probabilistic and possibilistic approaches of the classical Bernstein type operators.Considers a | | 图书封面 |  | | 影响因子 | This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained by classical approaches. The text considers a wide variety of operators which are studied for a number of interesting problems such as quantitative estimates, convergence, saturation results, localization, to name several..Additionally, the book discusses the perfect analogies between the probabilistic approaches of the classical Bernstein type operators and of the classical convolution operators (non-periodic and periodic cases), and the possibilistic approaches of the max-product variants of these operators. These approaches allow for two natural interpretations of the max-product Bernstein type operators and convolution type operators: firstly, as possibilistic expectations of somefuzzy variables, and secondly, as bases for the Feller type scheme in terms of the possibilistic integral. These approaches also offer new proofs for the uniform convergence based on a Chebyshev type inequal | | Pindex | Book 2016 |
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发表于 2025-3-21 18:36:55
