Yıl: 2019 Cilt: 9 Sayı: 2 Sayfa Aralığı: 148 - 153 Metin Dili: İngilizce DOI: 10.11121/ijocta.01.2019.00602 İndeks Tarihi: 15-11-2019

Hermite-Hadamard type inequalities for p-convex stochastic processes

Öz:
In this study are investigated p-convex stochastic processes which are extensionsof convex stochastic processes. A suitable example is also given for this process.In addition, in this case a p-convex stochastic process is increasing or decreasing,the relation with convexity is revealed. The concept of inequality as convexityhas an important place in literature, since it provides a broader setting to studythe optimization and mathematical programming problems. Therefore, Hermite-Hadamard type inequalities for p-convex stochastic processes and someboundaries for these inequalities are obtained in present study. It is used theconcept of mean-square integrability for stochastic processes to obtain the abovementioned results.
Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • Nikodem, K. (1980). On convex stochastic processes. Aequationes Mathematicae, 20, 184-197.
  • Shaked, M., & Shanthikumar, J.G. (1988). Stochastic convexity and its applications. Advances in Applied Probability, 20, 427-446.
  • Skowronski, A. (1992). On some properties of J- convex stochastic processes. Aequationes Mathematicae, 44, 249-258.
  • Skowronski, A. (1995). On Wright-convex stochastic processes. Annales Mathematicae, 9, 29- 32.
  • Kotrys, D. (2012). Hermite-Hadamard inequality for convex stochastic processes. Aequationes Mathematicae, 83, 143-151.
  • Akdemir G. H., Okur B. N., Iscan, I. (2014). On Preinvexity for Stochastic Processes. Statistics, Journal of the Turkish Statistical Association, 7 (1), 15-22.
  • Okur, N., İşcan, İ., Yüksek Dizdar, E. (2018). Hermite-Hadamard Type Inequalities for Harmonically Stochastic Processes, International Journal of Economic and Administrative studies, 11 (18. EYI Special Issue), 281-292.
  • Tomar, M., Set, E., & Okur B., N. (2014). On Hermite-Hadamard-Type Inequalities for Strongly Log Convex Stochastic Processes. The Journal of Global Engineering Studies, 1(2), 53-61.
  • İşcan, İ. (2016). Hermite-Hadamard inequalities for p-convex functions. International Journal of Analysis and Applications, 11 (2), 137-145.
  • Okur B., N., Günay Akdemir, H., & İşcan, İ. (2016). Some Extensions of Preinvexity for Stochastic Processes, G.A. Anastassiou and O. Duman (eds.), Computational Analysis, pp. 259- 270, Springer Proceedings in Mathematics & Statistics, Vol. 155, Springer, New York.
  • Sarikaya, M. Z., Yaldiz, H. & Budak, H. (2016). Some integral inequalities for convex stochastic processes. Acta Mathematica Universitatis Comenianae, 85(1), 155–164.
  • Fang, Z. B. & Shi, R. (2014). On the (p,h)-convex function and some integral inequalities. Journal of Inequalities and Applications, 2014:45.
  • Zhang, K. S. & Wan, J. P. (2007). p-convex functions and their properties. Pure and Applied Mathematics, 23(1), 130-133.
  • Noor, M. A., Noor, K. I., Mihai, M. V. & Awan, M. U. (2016). Hermite-Hadamard ineq. for differentiable p-convex functions using hypergeometric functions. Pub. De L’institut Math. Nouvelle série, tome 100(114), 251–257.
APA OKUR N, işcan i, YÜKSEK DİZDAR E (2019). Hermite-Hadamard type inequalities for p-convex stochastic processes. , 148 - 153. 10.11121/ijocta.01.2019.00602
Chicago OKUR Nurgul,işcan imdat,YÜKSEK DİZDAR Emine Hermite-Hadamard type inequalities for p-convex stochastic processes. (2019): 148 - 153. 10.11121/ijocta.01.2019.00602
MLA OKUR Nurgul,işcan imdat,YÜKSEK DİZDAR Emine Hermite-Hadamard type inequalities for p-convex stochastic processes. , 2019, ss.148 - 153. 10.11121/ijocta.01.2019.00602
AMA OKUR N,işcan i,YÜKSEK DİZDAR E Hermite-Hadamard type inequalities for p-convex stochastic processes. . 2019; 148 - 153. 10.11121/ijocta.01.2019.00602
Vancouver OKUR N,işcan i,YÜKSEK DİZDAR E Hermite-Hadamard type inequalities for p-convex stochastic processes. . 2019; 148 - 153. 10.11121/ijocta.01.2019.00602
IEEE OKUR N,işcan i,YÜKSEK DİZDAR E "Hermite-Hadamard type inequalities for p-convex stochastic processes." , ss.148 - 153, 2019. 10.11121/ijocta.01.2019.00602
ISNAD OKUR, Nurgul vd. "Hermite-Hadamard type inequalities for p-convex stochastic processes". (2019), 148-153. https://doi.org/10.11121/ijocta.01.2019.00602
APA OKUR N, işcan i, YÜKSEK DİZDAR E (2019). Hermite-Hadamard type inequalities for p-convex stochastic processes. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 9(2), 148 - 153. 10.11121/ijocta.01.2019.00602
Chicago OKUR Nurgul,işcan imdat,YÜKSEK DİZDAR Emine Hermite-Hadamard type inequalities for p-convex stochastic processes. An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 9, no.2 (2019): 148 - 153. 10.11121/ijocta.01.2019.00602
MLA OKUR Nurgul,işcan imdat,YÜKSEK DİZDAR Emine Hermite-Hadamard type inequalities for p-convex stochastic processes. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), vol.9, no.2, 2019, ss.148 - 153. 10.11121/ijocta.01.2019.00602
AMA OKUR N,işcan i,YÜKSEK DİZDAR E Hermite-Hadamard type inequalities for p-convex stochastic processes. An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 2019; 9(2): 148 - 153. 10.11121/ijocta.01.2019.00602
Vancouver OKUR N,işcan i,YÜKSEK DİZDAR E Hermite-Hadamard type inequalities for p-convex stochastic processes. An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 2019; 9(2): 148 - 153. 10.11121/ijocta.01.2019.00602
IEEE OKUR N,işcan i,YÜKSEK DİZDAR E "Hermite-Hadamard type inequalities for p-convex stochastic processes." An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 9, ss.148 - 153, 2019. 10.11121/ijocta.01.2019.00602
ISNAD OKUR, Nurgul vd. "Hermite-Hadamard type inequalities for p-convex stochastic processes". An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 9/2 (2019), 148-153. https://doi.org/10.11121/ijocta.01.2019.00602