engleski

Some generalizations of the Chebyshev inequality

We present the Chebyshev-Steffensen inequality involving the inner product on the real m-space, and some new upper bounds for the weighted Chebyshev-Steffensen functional as well as the Jensen-Steffensen functional involving the inner product under various conditions. We show how these results can be used to establish new upper bounds for the Jensen-Steffensen functional for certain generalized convex functions such as P- convex functions and functions with nondecreasing increments.

Chebyshev-Steffensen inequality, Jensen-Steffensen inequality, functions with nondecreasing increments

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