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Nonlinear Analysis pp 177–232Cite as

A Survey on Jessen’s Type Inequalities for Positive Functionals

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Part of the Springer Optimization and Its Applications book series (SOIA,volume 68)

Abstract

Some recent inequalities related to the celebrated Jessen’s result for positive linear or sublinear functionals and convex functions are surveyed.

Key words

  • Jessen’s inequality
  • Convex functions
  • Positive linear functionals

Mathematics Subject Classification

  • 26D15
  • 26D10

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Author information

Authors and Affiliations

  1. Mathematics, School of Engineering & Science, Victoria University, Melbourne, Australia

    S. S. Dragomir

  2. School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa

    S. S. Dragomir

Authors
  1. S. S. Dragomir
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Corresponding author

Correspondence to S. S. Dragomir .

Editor information

Editors and Affiliations

  1. , Department of Industrial & Systems Engin, University of Florida, Weil Hall 401, Gainesville, 32611, Florida, USA

    Panos M. Pardalos

  2. Center for Applied Optimization, Dept. Industrial & Systems, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, USA

    Pando G. Georgiev

  3. , Department of Mathematics & Statistics, University of Victoria, Finnerty Road 3800, Victoria, V8W 3R4, British Columbia, Canada

    Hari M. Srivastava

Additional information

Dedicated to Professor Themistocles M. Rassias on the occasion of his 60th birthday.

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Dragomir, S.S. (2012). A Survey on Jessen’s Type Inequalities for Positive Functionals. In: Pardalos, P., Georgiev, P., Srivastava, H. (eds) Nonlinear Analysis. Springer Optimization and Its Applications, vol 68. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3498-6_12

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