Some Inequalities Involving Harmonic Numbers

  • Miomir S. Stanković
  • Bratislav M. Danković
  • Slobodan B. Tričković
Part of the Mathematics and Its Applications book series (MAIA, volume 430)


In this paper we consider some inequalities for convex functions and derive sharper lower and upper bounds for harmonic numbers. Using the Hadamard’s integral inequality we get some better estimates. Also, we give a few applications to some functions.

Key words and phrases

Harmonic numbers Hadamard’s inequality Bernoulli numbers Euler constant Euler-Maclaurin formula 


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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Miomir S. Stanković
    • 1
  • Bratislav M. Danković
    • 2
  • Slobodan B. Tričković
    • 3
  1. 1.Faculty of the Occupational SafetyNišYugoslavia
  2. 2.Department of AutomaticsFaculty of Electronic EngineeringNišYugoslavia
  3. 3.Faculty of Civil EngineeringNišYugoslavia

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