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Some Standard Inequalities

In: Inequalities

Author

Listed:
  • Michael J. Cloud

    (Lawrence Technological University, Department of Electrical Engineering)

  • Byron C. Drachman

    (Michigan State University, Department of Mathematics)

  • Leonid P. Lebedev

    (National University of Colombia, Department of Mathematics)

Abstract

Here we examine certain famous inequalities that have left bold imprints on both pure and applied mathematics. These results, some of which are very old, pertain to functions, sequences, and integrals. We recall that integral inequalities are frequently deduced by establishing the corresponding result for series, writing it out for Riemann sums, and then implementing a limit passage. However, this is not the only method by which integral inequalities can be obtained.

Suggested Citation

  • Michael J. Cloud & Byron C. Drachman & Leonid P. Lebedev, 2014. "Some Standard Inequalities," Springer Books, in: Inequalities, edition 2, chapter 0, pages 53-74, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-05311-0_3
    DOI: 10.1007/978-3-319-05311-0_3
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