Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on n-coordinates

Yıl 2018, Cilt: 10, 256 - 262, 29.12.2018

Vildan Karahan Nurgül Okur İmdat İşcan

Öz

The main subject of this study is initially to consider convex stochastic processes on n-dimensional interval. Besides, Hermite-Hadamard type inequalities are obtained for these processes.

Anahtar Kelimeler

Convexity, stochastic process on n-coordinates, mean-square integral, Hermite-Hadamard inequality

Kaynakça

• Ellahi, H., Farid, G. and Rehman, A. U., Inequality for s-convex function on n-coordinates, Proceedings of 1st ICAM Attock., Pakistan, 2015.
• Kotrys, D., Hermite-Hadamard inequality for convex stochastic processes, Aequat. Math.,83(2012), 143-151.
• Maden, S., Tomar, M. and Set, E., Hermite-Hadamard type inequalities for s-convex stochastic processes in the first sense, Pure and Applied Mathematics Letters.,1(2014), 1–7.
• Nikodem, K., On convex stochastic processes, Aequat. Math.,20(1980), 184–197.
• Okur,N.˙Is¸can,˙I.Usta,Y.,SomeIntegralinequalitiesforharmonicallyconvexstochasticprocessesonthecoordinates,AdvancedMath.Models & Applications.,3(2018), 63–75.
• Set, E., Tomar, M. and Maden, S., Hermite-Hadamard type inequalities for s-convex stochastic processes in the second sense, Turkish Journal of Analysis and Number Theory.,2(2014), 202–207.
• Shaked, M., Shanthikumar, J.G., Stochastic convexity and its applications, Advances in Applied Probability., 20 (1988), 427–446.
• Skowronski, A., On some properties of J-convex stochastic processes, Aequat. Math.,44(1992), 249–258.