On one class of functions related to Ostrogradsky series and containing singular and nowhere monotonic functions

Albeverio, Sergio; Baranovskyi, Oleksandr; Kondratiev, Yuri; Pratsiovytyi, Mykola

dc.contributor.author	Albeverio, Sergio
dc.contributor.author	Baranovskyi, Oleksandr
dc.contributor.author	Kondratiev, Yuri
dc.contributor.author	Pratsiovytyi, Mykola
dc.date.accessioned	2016-06-21T14:33:38Z
dc.date.available	2016-06-21T14:33:38Z
dc.date.issued	2013
dc.identifier.citation	Albeverio, S. On one class of functions related to Ostrogradsky series and containing singular and nowhere monotonic functions / Albeverio Sergio, Baranovskyi Oleksandr, Kondratiev Yuri, Pratsiovytyi Mykola // Науковий часопис Національного педагогічного університету iменi М. П. Драгоманова. Серiя 1. Фiзико-математичнi науки : зб. наук. праць. – Київ : Вид-во НПУ iменi М. П. Драгоманова, 2013. – Вип. 15. – С. 35-55.	ua
dc.identifier.uri	http://enpuir.npu.edu.ua/handle/123456789/10661
dc.description.abstract	We study structural, diferential, fractal properties of function F according to the sequence (pn). “Most” of such functions are singular and nowhere monotonic, and singular non-monotonic functions form an essential class of them. We prove that function is nowhere monotonic if the sequence (pn) does not have zeroes but has negative terms.	ua
dc.language.iso	en	ua
dc.publisher	Вид-во НПУ ім. М. П. Драгоманова	ua
dc.subject	first Ostrogradsky series
dc.subject	representation of real number
dc.subject	infinite system of functional equations
dc.subject	singular function
dc.subject	nowhere monotonic function
dc.subject	Lebesgue measure
dc.subject	fractal Hausdorff–Besicovitch dimension
dc.subject.classification	511.72+517.51+519.21	ua
dc.title	On one class of functions related to Ostrogradsky series and containing singular and nowhere monotonic functions	ua
dc.type	Article	ua