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Year 2019, Volume: 68 Issue: 1, 824 - 832, 01.02.2019
https://doi.org/10.31801/cfsuasmas.478657

Abstract

References

  • Dragomir, S. S., The Hermite-Hadamard type inequalities for operator convex functions. Appl. Math. Comput 218(3), (2011), 766-772.
  • Erdaş, Y., Unluyol, E., and Salaş, S., The Hermite-Hadamard Type Inequalities for Operator m-Convex Functions in Hilbert Space, J. New Theory 5, (2015), 80-91.
  • Furuta, T., Micic, J., Pecaric, J., and Seo, Y., Mond Pecaric Method in Operator Inequalities for Bounded Selfadjoint Operators on a Hilbert Space. Element, Zagreb, 2005.
  • Ghazanfari, A., The Hermite-Hadamard type inequalities for operator s-convex functions. J. Adv. Res. Pure Math., 6(3), (2014), 52-61.
  • Moslehian, M. S., and Najafi, H., Around operator monotone functions. Integr. Equ. Oper Theory, 71, (2011), 575-582.
  • Pavić, Z., Ardıç, M. A., The most important inequalities of m-convex functions. Turk J Math., 41, (2017), 625-635.
  • Toader, G. H., Some generalisations of the convexity. Proc. Colloq. Approx. Optim., (1985), 329-338.

Newinequalities in terms of operator m-convex functions in Hilbert space

Year 2019, Volume: 68 Issue: 1, 824 - 832, 01.02.2019
https://doi.org/10.31801/cfsuasmas.478657

Abstract

In this study, we obtained some new inequalities via operator m-convex functions. Afterwards, we generalized and revised some theorems and lemmas in operator m-convex functions.

References

  • Dragomir, S. S., The Hermite-Hadamard type inequalities for operator convex functions. Appl. Math. Comput 218(3), (2011), 766-772.
  • Erdaş, Y., Unluyol, E., and Salaş, S., The Hermite-Hadamard Type Inequalities for Operator m-Convex Functions in Hilbert Space, J. New Theory 5, (2015), 80-91.
  • Furuta, T., Micic, J., Pecaric, J., and Seo, Y., Mond Pecaric Method in Operator Inequalities for Bounded Selfadjoint Operators on a Hilbert Space. Element, Zagreb, 2005.
  • Ghazanfari, A., The Hermite-Hadamard type inequalities for operator s-convex functions. J. Adv. Res. Pure Math., 6(3), (2014), 52-61.
  • Moslehian, M. S., and Najafi, H., Around operator monotone functions. Integr. Equ. Oper Theory, 71, (2011), 575-582.
  • Pavić, Z., Ardıç, M. A., The most important inequalities of m-convex functions. Turk J Math., 41, (2017), 625-635.
  • Toader, G. H., Some generalisations of the convexity. Proc. Colloq. Approx. Optim., (1985), 329-338.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Review Articles
Authors

Erdal Unluyol 0000-0003-3465-6473

Yeter Erdaş This is me 0000-0002-9227-779X

Seren Salaş This is me 0000-0003-4109-5635

Publication Date February 1, 2019
Submission Date September 22, 2017
Acceptance Date April 24, 2018
Published in Issue Year 2019 Volume: 68 Issue: 1

Cite

APA Unluyol, E., Erdaş, Y., & Salaş, S. (2019). Newinequalities in terms of operator m-convex functions in Hilbert space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 824-832. https://doi.org/10.31801/cfsuasmas.478657
AMA Unluyol E, Erdaş Y, Salaş S. Newinequalities in terms of operator m-convex functions in Hilbert space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2019;68(1):824-832. doi:10.31801/cfsuasmas.478657
Chicago Unluyol, Erdal, Yeter Erdaş, and Seren Salaş. “Newinequalities in Terms of Operator M-Convex Functions in Hilbert Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, no. 1 (February 2019): 824-32. https://doi.org/10.31801/cfsuasmas.478657.
EndNote Unluyol E, Erdaş Y, Salaş S (February 1, 2019) Newinequalities in terms of operator m-convex functions in Hilbert space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 824–832.
IEEE E. Unluyol, Y. Erdaş, and S. Salaş, “Newinequalities in terms of operator m-convex functions in Hilbert space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 824–832, 2019, doi: 10.31801/cfsuasmas.478657.
ISNAD Unluyol, Erdal et al. “Newinequalities in Terms of Operator M-Convex Functions in Hilbert Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 2019), 824-832. https://doi.org/10.31801/cfsuasmas.478657.
JAMA Unluyol E, Erdaş Y, Salaş S. Newinequalities in terms of operator m-convex functions in Hilbert space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:824–832.
MLA Unluyol, Erdal et al. “Newinequalities in Terms of Operator M-Convex Functions in Hilbert Space”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, 2019, pp. 824-32, doi:10.31801/cfsuasmas.478657.
Vancouver Unluyol E, Erdaş Y, Salaş S. Newinequalities in terms of operator m-convex functions in Hilbert space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):824-32.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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