Skip to main content
SpringerLink
Log in

Some New Inequalities of Operator m-Convex Functions and Applications for Synchronous–Asynchronous Functions

  • Published:
Complex Analysis and Operator Theory Aims and scope Submit manuscript

Abstract

In this paper, it is obtained some new inequalities for operator m-convex functions, which they are continuous functions of self adjoint operators, in Hilbert space. Later, it is established some applications for synchronous and asynchronous functions with respect to operator m-convex functions.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dragomir, S.S.: The Hermite–Hadamard type inequalities for operator convex functions. Appl. Math. Comput. 218(3), 766–772 (2011)

    MathSciNet  MATH  Google Scholar 

  2. Ghazanfari, A.G.: The Hermite–Hadamard type inequalities for operator s-convex functions. J. Adv. Res. Pure Math. 6(3), 52–61 (2014)

    Article  MathSciNet  Google Scholar 

  3. Erdaş, Y., Unluyol, E., Salaş, S.: The Hermite–Hadamard type inequalities for operator m-convex functions in Hilbert space. J. New Theory 5, 80–91 (2015)

    Google Scholar 

  4. Salaş, S., Unluyol, E., Erdaş, Y.: The Hermite–Hadamard type inequalities for operator p-convex functions in Hilbert Space. J. New Theory 4, 74–79 (2015)

    Google Scholar 

  5. Ghazanfari, A.G.: Hermite–Hadamard type inequalities for functions whose derivatives are operator convex. Complex Anal. Oper. Theory 10(8), 1695–1703 (2016)

    Article  MathSciNet  Google Scholar 

  6. Moslehian, M.S., Najafi, H.: Around operator monotone functions. Integr. Equ. Oper Theory 71, 575–582 (2011)

    Article  MathSciNet  Google Scholar 

  7. Dragomir, S.S.: Chebyshev type inequalities for functions of selfadjoint operators in Hilbert spaces. Lin. Multilin. Alg. 58(7), 805–814 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Sciences Institute, Ordu University, Ordu, Turkey

    Yeter Erdaş & Seren Salaş

  2. Department of Mathematics, Faculty of Arts and Sciences, Ordu University, Ordu, Turkey

    Erdal Ünlüyol

Authors
  1. Yeter Erdaş
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Erdal Ünlüyol
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Seren Salaş
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Erdal Ünlüyol.

Additional information

Communicated by Daniel Aron Alpay.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Erdaş, Y., Ünlüyol, E. & Salaş, S. Some New Inequalities of Operator m-Convex Functions and Applications for Synchronous–Asynchronous Functions. Complex Anal. Oper. Theory 13, 3871–3881 (2019). https://doi.org/10.1007/s11785-019-00935-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11785-019-00935-w

Keywords

Mathematics Subject Classification

Search

Navigation