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Inequalities and Convexity

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Operator Theory, Operator Algebras and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 242))

Abstract

It is a close connection between various kinds of inequalities and the concept of convexity. The main aim of this paper is to illustrate this fact in a unified way as an introduction of this area. In particular, a number of variants of classical inequalities, but also some new ones, are derived and discussed in this general frame.

Mathematics Subject Classification (2010). Primary 26D10, 26D15, 26A51, 39B62, 46B70.

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Author information

Authors and Affiliations

  1. Luleå University of Technology, Luleå, SE, 971 87, Sweden

    Lars-Erik Persson & Natasha Samko

  2. Narvik University College, 385, Narvik, N-8505, Norway

    Lars-Erik Persson & Natasha Samko

Authors
  1. Lars-Erik Persson
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  2. Natasha Samko
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Corresponding author

Correspondence to Lars-Erik Persson .

Editor information

Editors and Affiliations

  1. Departamento de Matemática, Instituto Superior Técnico, Lisbon, Portugal

    M. Amélia Bastos

  2. Departamento de Matemática, Instituto Superior Técnico, Lisbon, Portugal

    Amarino Lebre

  3. Departamento de Matemática, Universidade do Algarve, Faro, Portugal

    Stefan Samko

  4. Department of Mathematics, College of William & Mary, Williamsburg, Virginia, USA

    Ilya M. Spitkovsky

Additional information

Dedicated to Professor António Ferreira dos Santos

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Persson, LE., Samko, N. (2014). Inequalities and Convexity. In: Bastos, M., Lebre, A., Samko, S., Spitkovsky, I. (eds) Operator Theory, Operator Algebras and Applications. Operator Theory: Advances and Applications, vol 242. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0816-3_17

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