Naslov
Properties of mappings generated with inequalities for isotonic linear functionals

Autori
Nikolova, Ludmila ; Varošanec, Sanja

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the International Conference Constructive Theory of Functions, Sozopol, 2013 / Ivanov, Kamen ; Nikolov, Geno ; Uluchev, Rumen - Sofija : Prof.Marin Drinov Academic Publ. House, 2014, 199-215

ISBN
978-954-322-811-9

Skup
The International Conference Constructive Theory of Functions, Sozopol, June 9-14, 2013, Bulgaria

Mjesto i datum
Sozopol, Bugarska, 09.06.2013. - 14.06.2013

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
isotonic linear functional; $h$-concave function; quasilinearity; Chebyshev's functional; Jensen's functional

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA