http://hdl.handle.net/20.500.12128/9098
Title: | Hlawka's functional inequality |
Authors: | Fechner, Włodzimierz |
Keywords: | Functional inequality; Hlawka’s inequality; Popoviciu’s inequality; sublinear mapping; additive mapping; linear mapping; quadratic mapping; Dini derivative; quadrilateral space; Hlawka space |
Issue Date: | 2014 |
Citation: | Aequationes Mathematicae, Vol. 87, no. 1/2 (2014), s. 71-87 |
Abstract: | The paper is devoted to the functional inequality (called by us Hlawka’s functional inequality) f(x + y) + f(y + z) + f(x + z) ≤ f(x + y + z) + f(x) + f(y) + f(z) for the unknown mapping f defined on an Abelian group, on a linear space or on the real line. The study of the foregoing inequality is motivated by Hlawka’s inequality: x + y + y + z + x + z ≤ x + y + z + x + y + z , which in particular holds true for all x, y, z from a real or complex inner product space. |
URI: | http://hdl.handle.net/20.500.12128/9098 |
DOI: | 10.1007/s00010-012-0178-2 |
ISSN: | 0001-9054 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Fechner_Hlawkas_functional_inequality.pdf | 380,85 kB | Adobe PDF | View/Open |
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