http://hdl.handle.net/20.500.12128/6674
Title: | A note on functional equations connected with the Cauchy mean value theorem |
Authors: | Łukasik, Radosław |
Keywords: | Functional equation; Linearly dependent functions; Mean value theorem |
Issue Date: | 2018 |
Citation: | Aequationes Mathematicae, Vol. 92, no. 5 (2018), s. 935-947 |
Abstract: | The aim of this paper is to describe the solution (f, g) of the equation [f(x)-f(y)]g′(αx+(1-α)y)=[g(x)-g(y)]f′(αx+(1-α)y),x,y∈I,where I⊂ R is an open interval, f, g: I→ R are differentiable, α is a fixed number from (0, 1). |
URI: | http://hdl.handle.net/20.500.12128/6674 |
DOI: | 10.1007/s00010-018-0583-2 |
ISSN: | 0001-9054 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Lukasik_A_note_on_functional_equations_connected_with.pdf | 555,7 kB | Adobe PDF | View/Open |
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