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Extensions and improvements of Sherman’s and related inequalities for n-convex functions


Ivelić Bradanović, Slavica; Pečarić, Josip
Extensions and improvements of Sherman’s and related inequalities for n-convex functions // Open Mathematics, 15 (2017), 1; 936-947 doi:10.1515/math-2017-0077 (međunarodna recenzija, članak, znanstveni)


Naslov
Extensions and improvements of Sherman’s and related inequalities for n-convex functions

Autori
Ivelić Bradanović, Slavica ; Pečarić, Josip

Izvornik
Open Mathematics (2391-5455) 15 (2017), 1; 936-947

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Sherman inequality, Majorization inequality, Jensen inequality, n-convex, Green functions, Fink identity, Čebyčev functional, Means

Sažetak
This paper gives extensions and improvements of Sherman's inequality for n-convex functions obtained by using new identities which involve Green's functions and Fink's identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen's inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

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


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