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Generalizations of Sherman's inequality by Taylor interpolating polynomial


Ivelić Bradanović, Slavica; Latif, Naveed; Pečarić, Josip
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)


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.-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


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

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