On a New Class of Function Systems of Faber–Schauder Type

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dc.contributor.authorAubakirov, T. U.
dc.contributor.authorBokaev, N. A.
dc.date.accessioned2018-06-13T06:49:37Z
dc.date.available2018-06-13T06:49:37Z
dc.date.issued2007-11
dc.description.abstractIn this paper, we introduce a new class of function systems generalizing the classical Faber-Schauder system. Under the condition that the generating sequence is bounded, we show that systems of such a class constitute bases in the space of continuous functions and prove some properties of series expansions of functions in these systems.ru_RU
dc.identifier.citationAubakirov T. U. On a New Class of Function Systems of Faber–Schauder Type/T. U. Aubakirov, N. A. Bokaev//Mathematical notes.-2007.-№5(82).-pp.-575-582ru_RU
dc.identifier.urihttps://rep.buketov.edu.kz/handle/data/3201
dc.language.isoenru_RU
dc.publisherSpringerru_RU
dc.relation.ispartofseriesMathematical notes;№5(82)
dc.subjectFaber–Schauder function systemru_RU
dc.subjectpiecewise linear functionru_RU
dc.subjectVandermonde determinantru_RU
dc.subjectmodulus of continuityru_RU
dc.subjectmodulus of smoothnessru_RU
dc.titleOn a New Class of Function Systems of Faber–Schauder Typeru_RU
dc.typeArticleru_RU

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