Max-Product Weierstrass Type Functions

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 11 in Approximation by Max-Product Type Operators, 2016, pp 429-447 from Springer

Abstract: Abstract 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.

Keywords: Weierstrass Function; Fractal Dimension; Lebesgue Measure; Fracture Type; Auxiliary Results (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_11

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DOI: 10.1007/978-3-319-34189-7_11

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