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Pregled bibliografske jedinice broj: 841689

On Sherman's type inequalities for n-convex function with applications


Adil Khan, Muhammad; Ivelić Bradanović, Slavica; Pečarić Josip
On Sherman's type inequalities for n-convex function with applications // Konuralp Journal of Mathematics, 4 (2016), 2; 255-270 (podatak o recenziji nije dostupan, članak, znanstveni)


Naslov
On Sherman's type inequalities for n-convex function with applications

Autori
Adil Khan, Muhammad ; Ivelić Bradanović, Slavica ; Pečarić Josip

Izvornik
Konuralp Journal of Mathematics (2147-625X) 4 (2016), 2; 255-270

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

Ključne riječi
Majorization; n-convexity; Schur-convexity; Sherman's theorem; Hermite's interpolating polynomial; Čebyšev functional; Grüss type inequalities; Ostrowsky-type inequalities; exponentially convex functions; log-convex functions; means

Sažetak
New generalizations of Sherman's inequality for convex functions of higher order are obtained by using Hermite's interpolating polynomials and Green's function. The Ostrowski and Grüss type bounds for the identity related to generalized Sherman's inequality are established. Some applications are discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


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

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

Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Mathematical Reviews