Pregled bibliografske jedinice broj: 838207
On an upper bound for Sherman’s inequality
On an upper bound for Sherman’s inequality // Journal of inequalities and applications, 2016 (2016), 165-1 doi:10.1186/s13660-016-1091-3 (međunarodna recenzija, članak, znanstveni)
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Naslov
On an upper bound for Sherman’s inequality
Autori
Ivelić Bradanović, Slavica ; Latif, Naveed ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1029-242X) 2016
(2016);
165-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Sherman theorem ; Sherman inequality ; Jensen inequality ; Abel-Gontscharoff interpolating polynomial ; Ostrowski type inequality
Sažetak
Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order. An upper bound for Sherman’s inequality, as well as for generalized Sherman’s inequality, is given with some applications. As easy consequences, some new bounds for Jensen’s inequality can be derived.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
