关于函数序列的广义收敛

ON THE GENERALIZED CONVERGENCE OF FUNCTION SEQUENCES

研究了一类具下确界形式的函数序列的Ｍｏｓｃｏ收敛，文中的定理１首先在比Ｍｏｒｅａｕ－Ｙｏｓｉｄａ逼近函数（Ｍｏｒｅａｕ－Ｕｐｓｏｄａ ａｐｐｒｏｘｉｍａｔｅ）更广泛的意义下得出了类似的结论，在此基础上部分地推广了关于Ｍｏｒｅａｕ－Ｙｏｓｉｄａ逼近函数的Ｍｏｓｃｏ收敛的结果．

The Mosco convergance of a kind of function sequences with an infimum form is investigated. The theorem 1 in this paper gives a similar result in a more extensive case than Moreau - Yosida approtimate, and the results of Mosco convergence about Moreau - Yosida approximate have been partially ex- tended.