Properties of mappings generated with inequalities for isotonic linear functionals (CROSBI ID 625959)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Nikolova, Ludmila ; Varošanec, Sanja
engleski
Properties of mappings generated with inequalities for isotonic linear functionals
We consider mappings which are generated by inequalities for isotonic linear functionals, such as Chebyshev inequality, the Beckenbach-Dresher and the Jensen-Mercer inequality, Jensen's, H\" older's, Minkowski's and their reversed versions. Properties of quasilinearity, boundedness and monotonicity are proved. Also, we mention properties of a composite functional $x\mapsto h(v(x))\Phi\left(\frac{;g(x)};{;v(x)};\right)$ where $g$ and $v$ are functions associated with mappings generated by inequalites and $\Phi$ is $h$-concave monotone function.
isotonic linear functional; $h$-concave function; quasilinearity; Chebyshev's functional; Jensen's functional
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Podaci o prilogu
199-215.
2014.
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objavljeno
978-954-322-811-9
Podaci o matičnoj publikaciji
Proceedings of the International Conference Constructive Theory of Functions, Sozopol, 2013
Ivanov, Kamen ; Nikolov, Geno ; Uluchev, Rumen
Sofija: Prof.Marin Drinov Academic Publ. House
Podaci o skupu
Nepoznat skup
predavanje
29.02.1904-29.02.2096