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In the fourth chapter some functionals associated with some of our inequalities in continuous/family forms in the previous chapters are carefully investigated. Typically, these functionals can be the “gaps” between the right-hand and left-hand sides of the inequalities. The properties of these functionals are not only interesting in themselves, but they also give some additional improvements and refinements of the corresponding continuous inequalities.

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Functionals Associated with Continuous Forms of Inequalities

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  • 发表日期：

    2025年

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  • Ludmila Nikolova,
  • Lars-Erik Persson,
  • Sanja Varošanec

摘要

In the fourth chapter some functionals associated with some of our inequalities in continuous/family forms in the previous chapters are carefully investigated. Typically, these functionals can be the “gaps” between the right-hand and left-hand sides of the inequalities. The properties of these functionals are not only interesting in themselves, but they also give some additional improvements and refinements of the corresponding continuous inequalities.