Naslov
Generalizations of Sherman's theorem by Taylor's formula

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

Izvornik
Journal of Inequalities and Special Functions (2217-4303) 8 (2017), 2; 18-30

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

Ključne riječi
N-convexity ; Sherman’s theorem ; Taylor interpolating polynomial ; Cebyšev functional ; Gruss type inequalities ; Ostrowski type inequalities ; exponentially convex functions ; log-convex functions ; means

Sažetak
Extensions of Sherman’s theorem to convex functions of higher order and to real weights are obtained by using Taylor’s formula. New upper bounds for Sherman’s difference and generalized inequalities are established. Some related Cauchy-type means are discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA