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Continuous Versions of Some Classical Inequalities

This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such contin...

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Detalhes bibliográficos
Main Authors: Nikolova, Ludmila (Author), Persson, Lars-Erik (Author), Varošanec, Sanja (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: Recurso Electrónico livro electrónico
Idioma:inglês
Publicado em: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edição:1st ed. 2025.
Colecção:Frontiers in Mathematics,
Assuntos:
Functions of real variables.
Difference equations.
Functional equations.
Functional analysis.
Real Functions.
Difference and Functional Equations.
Functional Analysis.
Acesso em linha:https://doi.org/10.1007/978-3-031-83372-4
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Sumário:
  • - 1. Continuous Forms of Classical Inequalities
  • 2. Refinements of Continuous Forms of Inequalities
  • 3. Refinements of Inequalities via Strong Convexity and Superquadracity
  • 4. Functionals Associated with Continuous Forms of Inequalities
  • 5. Some Classical Inequalities Involving Banach Lattice Norms.

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