engleski

Generalizations of Sherman's theorem by Taylor's formula

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.

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

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