Skip to main content

Solutions of a Functional Inequality in a Special Class of Functions

  • Chapter
Functional Equations and Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 518))

  • 410 Accesses

Abstract

The paper gives the general construction of all solutions of inequality (1) from the class B(xo) of functions (defined in [ξ,xo] and fulfilling condition (4)).

Dedicated to the memory of Donald H. Hyers and Hiroshi Harki

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B. Choczewski, Przebieg asymptotyczny rozwigzaé ciiglych pewnych równaé funkcyjnych, 4(1970).

    Google Scholar 

  2. M. Czerni, Stability of normal regions for nonlinear functional equation of iterative type, Th.M. Rassias and J. Tabor, eds. Stability of Mappings of Hyers-Ulam Type Hadronic Press, Inc., Florida (1994), 67–79.

    Google Scholar 

  3. D.H. Hyers, G. Isac, Th.M. Rassias, Stability of Functional Equations in Several Variables, Birkhäuser Verlag, 1998.

    Google Scholar 

  4. D.H. Hyers, G. Isac, Th.M. Rassias, Topics in Nonlinear Analysis and Applications, World Scientific Publ. Co., 1997.

    Google Scholar 

  5. M. Kuczma, Non-negative continuous solutions of a functional inequality, Annales Polon. Math. (1979), 73–84.

    Google Scholar 

  6. M. Kuczma, Functional equations in a single variable, Monografie Mat. 46. Warszawa 1968.

    Google Scholar 

  7. M. Kuczma, J. Matkowski, Solutions of a functional equation in a special class of functions, Annales Polon. Math. 26(1972), 287–293.

    MathSciNet  Google Scholar 

  8. Th.M. Rassias (ed.), Approximation Theory and Applications, Hadronic Press, Inc., Florida, 1998.

    MATH  Google Scholar 

  9. Th.M. Rassias (ed.), Topics in Mathematical Analysis. A volume dedicated to the memory of A.L.Cauchy World Scientific Publishing Company (in the Series in Pure Mathematics), 1989.

    Google Scholar 

  10. Th.M. Rassias (ed.), Nonlinear Analysis, World Scientific Publ. Co., 1987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Czerni, M. (2000). Solutions of a Functional Inequality in a Special Class of Functions. In: Functional Equations and Inequalities. Mathematics and Its Applications, vol 518. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4341-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4341-7_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5869-8

  • Online ISBN: 978-94-011-4341-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics