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dc.date.accessioned 2019-01-22T20:51:27Z
dc.date.available 2019-01-22T20:51:27Z
dc.date.issued 2018
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/149119
dc.description.abstract © 2018, Pleiades Publishing, Ltd. For each ε > 0 and each scalar real valued and continuous on a compact set Ω ⊂ Rn, ξ ∈ [a, b] function g(τ, ξ) such that g(τ, a) · g(τ, b) < 0 we construct a function gε(τ, ξ), for which the least root of the equation gε(τ, ξ) = 0 continuously depends on τ, while |g(τ, ξ) − gε(τ, ξ)| < ε. We give examples illustrating the fact that in a general case assumptions are unimprovable.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject continuousness
dc.subject Implicit functions
dc.subject zeros of functions
dc.title The Least Root of a Continuous Function
dc.type Article
dc.relation.ispartofseries-issue 2
dc.relation.ispartofseries-volume 39
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 200
dc.source.id SCOPUS19950802-2018-39-2-SID85044293277


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  • Публикации сотрудников КФУ Scopus [22633]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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