The Fejér inequality and its generalizations

Zlatko Pavić

Abstract


The article provides generalizations of the Fej\'{e}r inequality. These include extensions, and refinements by inserting discrete and integral terms. The fundamental issue underlying this research is the barycenter of a nonnegative integrable function. Appropriate properties of the convexity related to
the function barycenter are used in the construction of main results.

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