Vildan KARAHAN, NURGÜL OKUR

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

ISSN: 2148-1830
Yayın Aralığı: 2
Başlangıç: 2013
Yayıncı: MATEMATİKÇİLER DERNEĞİ

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.

Keywords:

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

PDF

___

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.