Naslov
Generalizations of Sherman's inequality by Hermite's interpolating polynomial

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

Izvornik
Mathematical inequalities & applications (1331-4343) 19 (2016), 4; 1181-1192

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

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

Sažetak
Generalizations of Sherman's inequality for convex functions of higher order are obtained by applying Hermite's interpolating polynomials. The results for particular cases, namely, Lagrange, (m, n-m) and two-point Taylor interpolating polynomials are also cosidered. The Grüss and Ostrowski type inequalities related to these generalizations are given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA