Pregled bibliografske jedinice broj: 838246
Generalizations of Sherman's inequality by Taylor interpolating polynomial
Generalizations of Sherman's inequality by Taylor interpolating polynomial // World Academy of Science, Egineering and Technology, Conference Proceedings
Rim, Italija, 2016. (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 838246 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Sherman's inequality by Taylor interpolating polynomial
Autori
Ivelić Bradanović, Slavica ; Latif, Naveed ; Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
World Academy of Science, Egineering and Technology, Conference Proceedings
/ - , 2016
Skup
18th International Conference on Mathematical Sciences, Engineering and Applications
Mjesto i datum
Rim, Italija, 02.05.2016. - 03.05.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
majorization; n-convexity; Schur-convexity; Sherman's theorem; Taylor interpolating polynomial; Čebyšev functional; Grüss type inequalities; Ostrowsky-type inequalities; exponentially convex functions; log-convex functions; means
Sažetak
Generalizations of Sherman's inequality for n-convex functions are obtained by using Taylor's interpolating polynomial. The Ostrowski and Grüss type inequalities related to these generalizations are also given. Using these generalizations, new families of exponentially convex functions are generated. The outcome are some new classes of two-parameter Cauchy-type means.
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
