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

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,Approximation by Max-Product Meyer–K?nig and Zeller Operators,In this chapter the approximation and shape preserving properties of the max-product Meyer–K?nig and Zeller operators, ...(.)(.), are presented.

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Global Smoothness Preservation Properties,In 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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Max-Product Weierstrass Type Functions,Starting from the classical Weierstrass functions, in this chapter we introduce the so-called Weierstrass functions of max-product type, for which we prove that the set of the points of non-differentiability is uncountable, nowhere dense and of Lebesgue measure 0. Also, the fractal properties of these functions are studied.

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