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Hermite-hadamard type of integral inequalities for some multivariable convex stochastic processes

2020
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Advisor: Dr. Öğr. Üyesi Nurgül Okur

Abstract (EN)

The aim of this study is to define some multidimentional convex stochastic processes and to obtain Hermite-Hadamard inequalities for these processes. In the introduction is mentioned related the researches in the literature. Thereinafter, basic concepts are given. In the material and methods, the necessary informations related to convex, s-convex, harmonically convex, preinvex stochastic processes are briefly presented. In the research findings, the multidimentional stochastic processes are defined for the above mentioned convexities and Hermite-Hadamard type inequalities are obtained for these processes. Keywords: Convex, s-Convex, Harmonically Convex, Preinvex, Multidimentional Stochastic Processes, Hermite-Hadamard Inequality, Mean-square Integrable.

Author

Dr. Vildan Karahan

How to Cite

Vildan Karahan (Master Thesis). Hermite-hadamard type of integral inequalities for some multivariable convex stochastic processes, 2020, Giresun University.

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