Newinequalities in terms of operator m-convex functions in Hilbert space
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.
___
- 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.
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi
Sayıdaki Diğer Makaleler
H. ANSARİ-TOROGHY, F. FARSHADİFAR
Ata Emre OZALP, İman ASKERZADE
Ertuğrul AYYILDIZ, Gökhan ÖZÇELİK, Cevriye TEMEL GENCER
On almost α-para-Kenmotsu manifolds satisfyıng certain conditions
Monireh HAMELDARBANDI, Mehmet YILMAZ
On Andersson's inequality for yyperbolically convex functions
Nashat FARİED, Mohamed S. S. ALİ, Zeinab M. YEHİA