中文

关于广义随机分数阶积分及相关不等式

概率论 2019-02-05 v1

摘要

引入了随机过程 XX 的广义均方分数阶积分 Jρ,λ,u+;ωσ\mathcal{J}_{\rho,\lambda,u+;\omega}^{\sigma}Jρ,λ,v;ωσ\mathcal{J}_{\rho,\lambda,v-;\omega}^{\sigma}。随后,针对 Jensen 凸与强凸随机过程,通过广义随机分数阶积分建立了广义分数阶 Hermite--Hadamard 不等式。

关键词

引用

@article{arxiv.1902.01230,
  title  = {On generalized stochastic fractional integrals and related inequalities},
  author = {Hüseyin Budak and Mehmet Zeki Sarikaya},
  journal= {arXiv preprint arXiv:1902.01230},
  year   = {2019}
}

备注

Published at https://doi.org/10.15559/18-VMSTA117 in the Modern Stochastics: Theory and Applications (https://vmsta.org/) by VTeX (http://www.vtex.lt/)