Journals / Mathematical Sciences and Applications E-Notes / 2019 / Cilt: 7 - Sayı: 2

Operator (α, m)-convex functions and applications for synchronous and asynchronous functions

Pages
225–236
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, they are applied for synchronous and asynchronous functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, firstly the definition of operator (α, m)-convex function is defined.
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Key Findings & Data:Secondly, a new lemma is given.
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Conclusion & Impact:Finally, they are applied for synchronous and asynchronous functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this study, firstly the definition of operator (α, m)-convex function is defined. Secondly, a new lemma is given. Then, new theorems are obtained in terms of this lemma. Finally, they are applied for synchronous and asynchronous functions.

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Cite This Article

ÜNLÜYOL, E., ERDAŞ, Y., SALAŞ, S. (2019). Operator (α, m)-convex functions and applications for synchronous and asynchronous functions. Mathematical Sciences and Applications E-Notes, Cilt: 7 - Sayı: 2, 225–236. https://ajindex.com/articles/283479

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References (11)

  1. Furuta, T., Hot, L. M., P ecari ˘ c´, J. and Seo, Y., Mond-P ecari ˘ c´ Method in Operator Inequalites. Inequalites for Bounded Selfadjoint Operators on a Hilbert space. Element, Zagreb, 2005
  2. Mihe¸san, V. G., A generalization of the convexity, Seminar on Functionel Equations, Approx Convex, ClujNapoca (Romania), 1993
  3. Moslehian, M. S. and Najafi, H., Around operator monotone functions. Integr. Equ. Oper. Theory., 2011, 71:575- 582
  4. Dragomir, S. S., The Hermite-Hadamard type inequalites for operator convex functions. Appl. Math. Comput., 2011, 218(3):766-772
  5. Erda¸s, Y., Unluyol, E. and Sala¸s, S., The Hermite-Hadamard Type inequalities for operator m-convex functions in Hilbert Space, Journal of New Theory, 5(2015), 80-91
  6. Sala¸s, S., Unluyol, E. and Erda¸s, Y., The Hermite-Hadamard Type Inequalities for Operator p-Convex Functions in Hilbert Space, Journal of New Theory, 4(2015), 74-79
  7. Rooin, J., Alikhani, A. and Moslehian, M.S., Operator m-convex functions. Georgian Math. J. 25(2018), no.1, 93-107
  8. Ghazanfari, A. G., The Hermite-Hadamard type inequalities for operator s-convex functions, JARPM, Vol:6, Issue:3, 2014, 52-61
  9. Ghazanfari, A. G. and Barani, A., Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions. Banach J. Math. Anal. 9(2015), no.2, 9-20
  10. Dragomir, S. S., Ceby ˘ sev ˘ 0 s type inequalities for functions of selfadjoint operators in Hilbert spaces, Linear and Multilinear Algebra, 58(2010) no. 7-8, 805-814
  11. Erda¸s, Y., Unluyol, E. and Sala¸s, S., Some new inequalities of operator m-convex functions and applications for Synchronous-Asynchronous functions, accepted and press 2019 in Complex Anal. Oper. Theory.