Approximation by Max-Product Favard–Szász–Mirakjan Operators

Barnabás Bede, Lucian Coroianu and Sorin G. Gal
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Barnabás Bede: DigiPen Institute of Technology, Department of Mathematics
Lucian Coroianu: University of Oradea, Department of Mathematics and Computer Science
Sorin G. Gal: University of Oradea, Department of Mathematics and Computer Science

Chapter Chapter 3 in Approximation by Max-Product Type Operators, 2016, pp 159-188 from Springer

Abstract: Abstract This chapter deals with the approximation and the shape preserving properties of the max-product Favard–Szász–Mirakjan operators, denoted by F n (M)(f) in the non-truncated case, by 𝒯 n ( M ) ( f ) $$\mathcal{T}_{n}^{(M)}(f)$$ in the truncated case and attached to bounded functions f with only positive values. It is worth mentioning that this restriction can be dropped by attaching to bounded functions f of variable sign the new max-product type operators F ¯ n ( M ) ( f ) ( x ) = F n ( M ) ( f − a ) ( x ) + a $$\overline{F}_{n}^{(M)}(f)(x) = F_{n}^{(M)}(f - a)(x) + a$$ , 𝒯 ¯ n ( M ) ( f ) ( x ) = 𝒯 n ( M ) ( f − a ) ( x ) + a $$\overline{\mathcal{T}}_{n}^{(M)}(f)(x) = \mathcal{T}_{n}^{(M)}(f - a)(x) + a$$ , with a

Keywords: Shape Preserving Properties; Chapter Deals; Convex Piecewise; Nondecreasing Concave Function; Quasiconvex Functions (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-34189-7_3

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DOI: 10.1007/978-3-319-34189-7_3

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