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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

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

Erdal Unluyol0000-0003-3465-6473
Yeter Erdaş0000-0002-9227-779X
Seren Salaş0000-0003-4109-5635
Sayfa
—
Yayın Tarihi
2019-02-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Afterwards, we generalized and revised some theorems and lemmas in operator m-convex functions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we obtained some new inequalities via operator m-convex functions.
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Temel Bulgular & Veri:In this study, we obtained some new inequalities via operator m-convex functions.
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Sonuç & Katkı:Afterwards, we generalized and revised some theorems and lemmas in operator m-convex functions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Operator m-convex functions · selfadjoint operator · product two operator

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.

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Bu Makaleye Atıf Yap

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, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.478657

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Kaynakça (7)

  1. Dragomir, S. S., The Hermite-Hadamard type inequalities for operator convex functions. Appl. Math. Comput 218(3), (2011), 766-772.
  2. 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.
  3. 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.
  4. Ghazanfari, A., The Hermite-Hadamard type inequalities for operator s-convex functions. J. Adv. Res. Pure Math., 6(3), (2014), 52-61.
  5. Moslehian, M. S., and Najafi, H., Around operator monotone functions. Integr. Equ. Oper Theory, 71, (2011), 575-582.
  6. Pavić, Z., Ardıç, M. A., The most important inequalities of m-convex functions. Turk J Math., 41, (2017), 625-635.
  7. Toader, G. H., Some generalisations of the convexity. Proc. Colloq. Approx. Optim., (1985), 329-338.