19 research outputs found

    Jensenā€“Steffensen inequality for strongly convex functions

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    Abstract The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensenā€“Steffensen inequality for convex functions. In this paper we prove the Jensenā€“Steffensen inequality for strongly convex functions

    Jensen-GrĆ¼ss inequality and its applications for the Zipf-Mandelbrot law

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    In this paper, we prove several Jensen-GrĆ¼ss type inequalities under various conditions. Some applications in information theory are also given. Ā© 2020 John Wiley & Sons, Ltd
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