Differential and Integral Inequalities pp 719-724 | Cite as

Exact Bounds on the Zeros of Solutions of Second–Order Differential Inequalities

• Authors
• Authors and affiliations

• Iosif Pinelis

Chapter

First Online: 15 November 2019

Part of the Springer Optimization and Its Applications book series (SOIA, volume 151)

Abstract

Exact upper bounds on the zeros of solutions of a certain class of second-order differential inequalities are obtained.

This is a preview of subscription content, log in to check access.

References

1. 1.
   M.E. Muldoon, Convexity properties of special functions and their zeros, in Recent Progress in Inequalities (Niš, 1996). Mathematics and Its Applications, vol. 430 (Kluwer Academic Publications, Dordrecht, 1998), pp. 309–323CrossRefGoogle Scholar
2. 2.
   M. Petrovitch, Sur une manière d’étendre le thèorème de la moyenne aux équations différentielles du premier ordre. Math. Ann. 54, 417–436 (1904)CrossRefGoogle Scholar
3. 3.
   H. Riely, A modification of the Chang–Wilson–Wolff inequality via the Bellman function. https://arxiv.org/abs/1805.10510 (2018)

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

• Iosif Pinelis
  • 1
  Email author

1. 1.Department of Mathematical SciencesMichigan Technological UniversityHoughtonUSA