Pregled bibliografske jedinice broj: 841689
On Sherman's type inequalities for n-convex function with applications
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)
CROSBI ID: 841689 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
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:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Mathematical Reviews
