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

Year 2018, Volume: 10, 256 - 262, 29.12.2018

Abstract

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.

References

  • 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.
Year 2018, Volume: 10, 256 - 262, 29.12.2018

Abstract

References

  • 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.
There are 8 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Vildan Karahan 0000-0001-5963-2094

Nurgül Okur

İmdat İşcan

Publication Date December 29, 2018
Published in Issue Year 2018 Volume: 10

Cite

APA Karahan, V., Okur, N., & İşcan, İ. (2018). Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on n-coordinates. Turkish Journal of Mathematics and Computer Science, 10, 256-262.
AMA Karahan V, Okur N, İşcan İ. Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on n-coordinates. TJMCS. December 2018;10:256-262.
Chicago Karahan, Vildan, Nurgül Okur, and İmdat İşcan. “Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on N-Coordinates”. Turkish Journal of Mathematics and Computer Science 10, December (December 2018): 256-62.
EndNote Karahan V, Okur N, İşcan İ (December 1, 2018) Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on n-coordinates. Turkish Journal of Mathematics and Computer Science 10 256–262.
IEEE V. Karahan, N. Okur, and İ. İşcan, “Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on n-coordinates”, TJMCS, vol. 10, pp. 256–262, 2018.
ISNAD Karahan, Vildan et al. “Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on N-Coordinates”. Turkish Journal of Mathematics and Computer Science 10 (December 2018), 256-262.
JAMA Karahan V, Okur N, İşcan İ. Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on n-coordinates. TJMCS. 2018;10:256–262.
MLA Karahan, Vildan et al. “Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on N-Coordinates”. Turkish Journal of Mathematics and Computer Science, vol. 10, 2018, pp. 256-62.
Vancouver Karahan V, Okur N, İşcan İ. Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on n-coordinates. TJMCS. 2018;10:256-62.