离散(网格)函数空间的一些内插不等式

摘要

Some interpolation inequalities of the intermediate difference quotient of the discrete func-tions with several indexes is derived, which are the analogue of interpolation inequalities in Sobolev space that play a very important role in the study of partial differential equations.%给出了一些离散(网格)函数中间差商的内插不等式,它们类似于在偏微分方程理论研究中起重要作用的Sobolev空间中的内插不等式.