engleski

Generalization of Steffensen's inequality by Hermite polynomial,

We study generalizations of Steffensen’s inequality using Hermite expansions with integral reminder. In comparing differences of two weighted integrals we vary on the number of knots in expansion which leads us to generalization of conditions for Steffensen’s inequality. After that, we construct exponentially convex functions and Cauchy means.

Steffensen’s inequality; Hermite polynomial; n􀀀exponential convexity; n􀀀convexity

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