KaydedilenlerDerginizi ekleyin

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

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

Erdal ÜNLÜYOL
Yeter ERDAŞ
Seren SALAŞ
Sayfa
225–236
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, they are applied for synchronous and asynchronous functions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, firstly the definition of operator (α, m)-convex function is defined.
📊
Temel Bulgular & Veri:Secondly, a new lemma is given.
💡
Sonuç & Katkı:Finally, they are applied for synchronous and asynchronous functions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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.

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (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.