Pregled bibliografske jedinice broj: 786546
Chebyshev type inequalities involving two linear functionals
Chebyshev type inequalities involving two linear functionals // Book of Abstracts of the conference Mathematical Inequalities and Applications 2015 / Andrić, Maja ; Tipurić-Spužević, Sanja ; Varošanec, Sanja (ur.).
Mostar: Faculty of Science and Education, University of Mostar, 2015. str. 74-74 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Chebyshev type inequalities involving two linear functionals
Autori
Varošanec, Sanja ; Nikolova, Ludmila
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts of the conference Mathematical Inequalities and Applications 2015
/ Andrić, Maja ; Tipurić-Spužević, Sanja ; Varošanec, Sanja - Mostar : Faculty of Science and Education, University of Mostar, 2015, 74-74
Skup
Conference Mathematical Inequalities and Applications 2015
Mjesto i datum
Mostar, Bosna i Hercegovina, 11.11.2015. - 15.11.2015
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Chebyshev inequality; Gruss inequality; isotonic linear functional
Sažetak
We present the Chebyshev inequality involving two isotonic linear functionals. Namely, if A and B are isotonic linear functionals, then $$A(pfg)B(q)+A(p)B(qfg)\geq A(pf)B(qg)+A(pg)B(qf), $$ where p and q are non-negative weights and f and g are similarly ordered functions. We derive various properties of functional related to the difference of the right-hand and left- hand side of the above-mentioned inequality. Particularly, we obtain Gruss type inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Sanja Varošanec
(autor)
