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Titlebook: Approximation by Max-Product Type Operators; Barnabás Bede,Lucian Coroianu,Sorin G. Gal Book 2016 Springer International Publishing Switze

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期刊全稱Approximation by Max-Product Type Operators
影響因子2023Barnabás Bede,Lucian Coroianu,Sorin G. Gal
視頻videohttp://file.papertrans.cn/161/160439/160439.mp4
發(fā)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
圖書封面Titlebook: Approximation by Max-Product Type Operators;  Barnabás Bede,Lucian Coroianu,Sorin G. Gal Book 2016 Springer International Publishing Switze
影響因子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
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P. Frick,G.-A. Harnack,A. PraderIn this chapter we study the problem of partial global smoothness preservation in the cases of max-product Bernstein approximation operator, max-product Hermite–Féjer interpolation operator based on the Chebyshev nodes of first kind and max-product Lagrange interpolation operator based on the Chebyshev nodes of second kind.
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Introduction and Preliminaries,In this chapter we introduce the reader into the topic of the book and present some preliminaries useful for the next chapters.
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Approximation by Max-Product Bernstein Operators,Section?. of this chapter contains general results of approximation obtained by applying Theorem?., Jackson-type estimates for some particular classes of functions and results of shape preserving.
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Approximation by Max-Product Baskakov Operators,This chapter studies the approximation and the shape preserving properties of the max-product Baskakov operators, denoted by ...(.) in the non-truncated case, by ...(.) in the truncated case and attached to bounded functions . with only positive values.
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