engleski

Continuous forms of classical inequalities

The main aim of this paper is to focus on the question to develop classical inequalities to hold in a more general "continuous" form (involving infinitely many functions and/or spaces). First, we discuss such developments concerning H\"older's and Minkowski's inequalities. After that we present such new general developments of Popoviciu's and Bellman's inequalities. Finally, we present some applications, possible extensions and questions for further research.

Inequalities ; continuous forms ; H\

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