engleski

On Sherman's type inequalities for n-convex function with applications

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.

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

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