Skip to main content

Leindler-Type Inequalities

  • Chapter
  • First Online:
Hardy Type Inequalities on Time Scales

Abstract

This chapter (with four sections) considers time scale versions of Leindler type inequalities.

I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our “creations,” are simply the notes of our observations.

Godfrey Harold Hardy (1877–1947).

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 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 119.99
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

References

  1. G. Bennett, Some elementary inequalities. Q. J. Math. 2, 401–425 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  2. G. Bennett, K.-G. Grosse-Erdmann, Weighted Hardy inequalities for decreasing sequences and functions. Math. Ann. 334, 489–531 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. E.T. Copson, Note on series of positive terms. J. Lond. Math. Soc. 2, 9–12 (1927)

    Article  MathSciNet  MATH  Google Scholar 

  4. G.H. Hardy, J.E. Littlewood, Elementary theorems concerning power series with positive coefficients and moment constants of positive functions. J. Math. 157, 141–158 (1927)

    MathSciNet  MATH  Google Scholar 

  5. L. Leindler, Generalization of inequalities of Hardy and Littlewood. Acta Sci. Math. (Szeged) 31, 297–285 (1970)

    MathSciNet  MATH  Google Scholar 

  6. L. Leindler, Further sharpening of inequalities of Hardy and Littlewood. Acta Sci. Math. (Szeged) 54, 285–289 (1990)

    MathSciNet  MATH  Google Scholar 

  7. R.N. Mohapatra, F.L. Salzman, On a result of Leindler. Math. Inequal. Appl. 5, 39–43 (2002)

    MathSciNet  MATH  Google Scholar 

  8. S.H. Saker, Hardy-Leindler type inequalities on time scales. Appl. Math. Inform. Sci. 8, 2957–2981 (2014)

    Article  MathSciNet  Google Scholar 

  9. S.H. Saker, D. O’Regan, R.P. Agarwal, Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales. Math. Nachr. 287, 686–698 (2014)

    MathSciNet  MATH  Google Scholar 

  10. S.H. Saker, D. O’Regan, R.P. Agarwal, Some new dynamic inequalities on discrete time scales. Dyn. Syst. Appl. 24, 113–128 (2015)

    MathSciNet  MATH  Google Scholar 

  11. S.H. Saker, D. O’Regan, R.P. Agarwal, Converses of Copson’s inequalities on time scales. Math. Inequal. Appl. 18, 241–254 (2015)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Agarwal, R.P., O’Regan, D., Saker, S.H. (2016). Leindler-Type Inequalities. In: Hardy Type Inequalities on Time Scales. Springer, Cham. https://doi.org/10.1007/978-3-319-44299-0_3

Download citation

Publish with us

Policies and ethics