engleski

Weighted majorization theorems via generalization of Taylor's formula

A new generalization of weighted majorization theorem for n-convex functions is obtained by using generalization of Taylor's formula. Bounds for the reminders in new majorization identities are given by using the Čebyšev type inequalities. Mean value theorems and n-exponential convexity is discussed for functionals related to new majorization identities.

Majorization theorem; Taylor's formula; Čebyšev functional

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