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Chapter 5 is devoted to inequalities involving Banach lattice norms. In particular, some new inequalities such as Hölder-type, Minkowski-type, Popoviciu-type, Bellman-type, Beckenbach-Dresher-type, and Hardy-type inequalities, sometimes even combined with a full family situation, are proved and applied.

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Some Classical Inequalities Involving Banach Lattice Norms

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  • 发表日期：

    2025年

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

摘要

Chapter 5 is devoted to inequalities involving Banach lattice norms. In particular, some new inequalities such as Hölder-type, Minkowski-type, Popoviciu-type, Bellman-type, Beckenbach-Dresher-type, and Hardy-type inequalities, sometimes even combined with a full family situation, are proved and applied.