On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes

Volume: 1 Number: 2 December 1, 2014
  • Muharrem Tomar
  • Erhan Set
  • Nurgül Okur Bekar
EN TR

On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes

Öz

Bu çalışmada, güçlü logaritmik konveks stokastik süreci tanıtılmaktadır. Ayrıca, bu aüreçler için Hermite-Hadamard tipi integral eşitsizliklerini elde edilmektedir

Anahtar Kelimeler

References

  1. B. T. Polyak, Existence theorems and convergence of minimizing sequences in extremum problems with restrictions, Soviet Math. Dokl. Vol. 7. 1966.
  2. J. Pecaric, F. Proschan and Y. L. Tong, Convex Functions, Partial Orderings and Statistical Applications, Academic Press, Inc., 1992.
  3. S.S. Dragomir, C.E.M. Pearce, Selected Topics on Hermite–Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  4. R.B. Manfrino, R.V. Delgado, J.A.G. Ortega, Inequalities a Mathematical Olympiad Approach, Birkhauser, 2009.
  5. D.S. Mitrinovic, J.E. Pecaric, A.M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers,Dordrecht, 1993.
  6. J.E. Pecaric, F. Proschan, Y.L. Tong, Convex Functions, Partial Orderings and Statistical Applications, Academic Press, 1991.
  7. D. Kotrys, Hermite-hadamart inequality for convex stochastic processes, Aequationes Mathematicae 83 (2012) 143-151.
  8. A. Skowronski, On some properties of J-convex stochastic processes, Aequationes Mathematicae 44 (1992) 249-258.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Muharrem Tomar This is me

Erhan Set This is me

Nurgül Okur Bekar This is me

Publication Date

December 1, 2014

Submission Date

April 28, 2015

Acceptance Date

-

Published in Issue

Year 2014 Volume: 1 Number: 2

APA
Tomar, M., Set, E., & Bekar, N. O. (2014). On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes. Küresel Mühendislik Çalışmaları Dergisi, 1(2), 53-61. https://izlik.org/JA86DJ92LL
AMA
1.Tomar M, Set E, Bekar NO. On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes. Küresel Mühendislik Çalışmaları Dergisi. 2014;1(2):53-61. https://izlik.org/JA86DJ92LL
Chicago
Tomar, Muharrem, Erhan Set, and Nurgül Okur Bekar. 2014. “On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes”. Küresel Mühendislik Çalışmaları Dergisi 1 (2): 53-61. https://izlik.org/JA86DJ92LL.
EndNote
Tomar M, Set E, Bekar NO (December 1, 2014) On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes. Küresel Mühendislik Çalışmaları Dergisi 1 2 53–61.
IEEE
[1]M. Tomar, E. Set, and N. O. Bekar, “On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes”, Küresel Mühendislik Çalışmaları Dergisi, vol. 1, no. 2, pp. 53–61, Dec. 2014, [Online]. Available: https://izlik.org/JA86DJ92LL
ISNAD
Tomar, Muharrem - Set, Erhan - Bekar, Nurgül Okur. “On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes”. Küresel Mühendislik Çalışmaları Dergisi 1/2 (December 1, 2014): 53-61. https://izlik.org/JA86DJ92LL.
JAMA
1.Tomar M, Set E, Bekar NO. On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes. Küresel Mühendislik Çalışmaları Dergisi. 2014;1:53–61.
MLA
Tomar, Muharrem, et al. “On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes”. Küresel Mühendislik Çalışmaları Dergisi, vol. 1, no. 2, Dec. 2014, pp. 53-61, https://izlik.org/JA86DJ92LL.
Vancouver
1.Muharrem Tomar, Erhan Set, Nurgül Okur Bekar. On Hermite-Hadamard-Type Inequalities for Strongly-Log Convex Stochastic Processes. Küresel Mühendislik Çalışmaları Dergisi [Internet]. 2014 Dec. 1;1(2):53-61. Available from: https://izlik.org/JA86DJ92LL