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Properties of mappings generated with inequalities for isotonic linear functionals (CROSBI ID 625959)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Nikolova, Ludmila ; Varošanec, Sanja Properties of mappings generated with inequalities for isotonic linear functionals // Proceedings of the International Conference Constructive Theory of Functions, Sozopol, 2013 / Ivanov, Kamen ; Nikolov, Geno ; Uluchev, Rumen (ur.). Sofija: Prof.Marin Drinov Academic Publ. House, 2014. str. 199-215

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.

nije evidentirano

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

Povezanost rada

Matematika