Skip to main content

Complements to Voronovskaya’s Formula

  • Conference paper
  • First Online:

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 253))

Abstract

We generalize some known results concerning Voronovskaya-type formulas for the composition of two linear operators acting on an arbitrary Banach space.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   79.99
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

Learn about institutional subscriptions

References

  1. Abel, U., Ivan, M.: Asymptotic expansion of the multivariate Bernstein polynomials on a simplex. Approx. Theory Appl. 16, 85–93 (2000)

    MathSciNet  MATH  Google Scholar 

  2. Cooper, Sh., Waldron, Sh.: The Eigenstructure of the Bernstein operator. J. Approx. Theory 105, 133–165 (2000)

    Article  MathSciNet  Google Scholar 

  3. Gonska, H., Heilmann, M., Lupaş, A., Raşa, I.: On the composition and decomposition of positive linear operators III: A non-trivial decomposition of the Bernstein operator, http://arxiv.org/abs/1204.2723 Aug 30, 2012, pp. 1–28

  4. Nasaireh, F., Raşa, I.: Another look at Voronovskaja type formulas, J. Math. Inequal. 12(1), 95–105 (2018)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Margareta Heilmann .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Heilmann, M., Nasaireh, F., Raşa, I. (2018). Complements to Voronovskaya’s Formula. In: Ghosh, D., Giri, D., Mohapatra, R., Sakurai, K., Savas, E., Som, T. (eds) Mathematics and Computing. ICMC 2018. Springer Proceedings in Mathematics & Statistics, vol 253. Springer, Singapore. https://doi.org/10.1007/978-981-13-2095-8_11

Download citation

Publish with us

Policies and ethics