Approximation of Functions by Additive and by Quadratic Mappings

Laura Găvruţa () and Paşc Găvruţa ()
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Laura Găvruţa: Politehnica University of Timişoara
Paşc Găvruţa: Politehnica University of Timişoara

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 281-292 from Springer

Abstract: Abstract In this chapter, we characterize the functions with values in a Banach space which can be approximated by additive mappings, with a given error. Also, we give a characterization of functions with values in a Banach space which can be approximated by a quadratic mapping, with a given error.

Keywords: Hyers-Ulam-Rassias stability; Additive mapping; Quadratic mapping (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31281-1_12

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DOI: 10.1007/978-3-319-31281-1_12

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