It is used theconcept of mean-square integrability for stochastic processes to obtain the abovementioned results.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study are investigated p-convex stochastic processes which are extensionsof convex stochastic processes.
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Key Findings & Data: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.
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Conclusion & Impact:It is used theconcept of mean-square integrability for stochastic processes to obtain the abovementioned results.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
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.
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Cite This Article
OKUR, N., İŞCAN, İ., DİZDAR, E. Y. (2022). Hermite-Hadamard type inequalities for p-convex stochastic processes. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 9 - Sayı: 2, 148–153. https://ajindex.com/articles/440610
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