It is obtained rather general theorems on the smallness of the discontinuity points set of functions which are continuous with respect to the first variable and are some Lipchitz type with respect to the second one. In particular, it is proved that a subset of the coordinate plain is the discontinuity points set of some separately continously differentiable function of two real variable if and only if it is a locally projectively nowhere dense Fσ" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">-subset.
- ACS Style
- Gerasymchuk , V.; Maslyuchenko, V.K.; Mykhaylyuk, V. Varieties of Lipschitzity and sets of discontinuit points of differently differentiable functions. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Gerasymchuk V, Maslyuchenko VK, Mykhaylyuk V. Varieties of Lipschitzity and sets of discontinuit points of differently differentiable functions. Bukovinian Mathematical Journal. 2018; 1(134).
- Chicago/Turabian Style
- V. Gerasymchuk , Volodymyr Kyrylovych Maslyuchenko, Volodymyr Mykhaylyuk. 2018. "Varieties of Lipschitzity and sets of discontinuit points of differently differentiable functions". Bukovinian Mathematical Journal. 1 no. 134.