The Star-Kernel for a Quasidifferentiable Function

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3003 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3003 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3003 archive 351 disk0/00/00/29/63 2016-01-15 01:57:48 2021-08-27 17:12:58 2016-01-15 01:57:48 monograph show 2 Xia Z.Q. AL1389 The Star-Kernel for a Quasidifferentiable Function pub iis_met iis_mod prog_ado prog_sds This paper attempts to explore ways and means of finding the kernels of quasidifferentials. The results here show that there exists a kind of kernel -- the so-called "star-kernel" -- for the quasidifferentials, with a "star-equivalent bounded subfamily" of a quasidifferentiable function at a point. The directional subderivative and superderivative of a quasidifferentiable function are proposed. The continuity of the kernel also is mentioned in this paper. 1987-07 published WP-87-089 WP-87-089 10 2530 public working_paper IIASA, Laxenburg, Austria 30 FALSE info:eu-repo/semantics/book