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A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^{; ; ; k}; ; ;


Matković, Anita; Pečarić, Josip; Perić, Jurica
A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^{; ; ; k}; ; ; // Mathematical Inequalities and Applications 2014. One Thousand Papers Conference, Book of Abstracts / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja (ur.).
Zagreb: Element, 2014. str. 55-55 (predavanje, međunarodna recenzija, sažetak, znanstveni)


Naslov
A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^{; ; ; k}; ; ;

Autori
Matković, Anita ; Pečarić, Josip ; Perić, Jurica

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Mathematical Inequalities and Applications 2014. One Thousand Papers Conference, Book of Abstracts / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja - Zagreb : Element, 2014, 55-55

Skup
Mathematical Inequalities and Applications 2014. One Thousand Papers Conference

Mjesto i datum
Trogir, Hrvatska, 22-26.06.2014.

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Jessen-Mercer inequality; convex functions; convex hulls; n-exponential convexity; Stolarsky type means

Sažetak
We present a refinement of the Jessen-Mercer inequality and use it to improve an upper bound for the Jessen's difference. Also, we present a generalization of the Jessen-Mercer inequality for convex functions on convex hulls in R^{; ; ; k}; ; ; . We apply an elegant method of producing n- exponentially convex and exponentially convex functions using the Jessen-Mercer differences. We prove Cauchy mean value type theorems and show them to be useful in studying Stolarsky type means defined by using the Jessen-Mercer differences.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (Josip Pečarić, )

Ustanove
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split