Buchumschlag

Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers

The present paper is devoted to the functions from a certain subclass of non-differentiable functions. The arguments and values of the considered functions are represented by the s-adic representation or the nega-s-adic representation of real numbers. The technique of modeling these functions is the...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Журнал математической физики, анализа, геометрии
Datum:	2018
1. Verfasser:	Serbenyuk, S.O.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
Online Zugang:	https://nasplib.isofts.kiev.ua/handle/123456789/145868
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:	Non-Differentiable Functions Defined in Terms of Classical Representations of Real Numbers / S.O. Serbenyuk // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 2. — С. 197-213. — Бібліогр.: 38 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Ähnliche Einträge

Non-Dierentiable Functions Dened in Terms of Classical Representations of Real Numbers
von: S. O. Serbenyuk
Veröffentlicht: (2018)

Continuous Functions with Complicated Local Structure Defined in Terms of Alternating Cantor Series Representation of Numbers
von: S. O. Serbenyuk
Veröffentlicht: (2017)

Continuous nowhere differentiable function with fractal properties defined in terms of the Q2-representation
von: M. V. Pratsovytyi, et al.
Veröffentlicht: (2020)

Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators
von: Kalchuk, I. V., et al.
Veröffentlicht: (2007)

Certain Functions Dened in Terms of Cantor Series
von: S. Serbenyuk
Veröffentlicht: (2020)

Self-Affine Singular and Nowhere Monotone Functions Related to the Q-Representation of Real Numbers
von: M. V. Pratsovytyi, et al.
Veröffentlicht: (2013)

Self-Affine Singular and Nowhere Monotone Functions Related to the Q-Representation of Real Numbers
von: Kalashnikov, A. V., et al.
Veröffentlicht: (2013)

Approximation of $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators
von: Zhyhallo, T. V., et al.
Veröffentlicht: (2005)

Non-classical differentiation in algebras of analytical functions of bounded type
von: H. M. Pryimak
Veröffentlicht: (2017)

$A_2$-continued fraction representation of real numbers and its geometry
von: Dmytrenko, S. O., et al.
Veröffentlicht: (2009)

Gauss – Kuzmin problem for the difference Engel-series representation of real numbers
von: M. P. Moroz
Veröffentlicht: (2022)

Normal properties of numbers in the terms of their representation by the Perron series
von: M. Moroz
Veröffentlicht: (2023)

Gauss–Kuzmin problem for the difference Engel-series representation of real numbers
von: Moroz , M. P., et al.
Veröffentlicht: (2022)

Normal properties of numbers in the terms of their representation by the Perron series
von: Moroz, M., et al.
Veröffentlicht: (2023)

Group of continuous transformations of real interval preserving tails of G₂-representation of numbers
von: Pratsiovytyi, M.V., et al.
Veröffentlicht: (2020)

On crossing of a level by processes defined by sums of a random number of terms
von: Gusak, D. V., et al.
Veröffentlicht: (1995)

On differential properties of real functions
von: Ilmuradov, D. D., et al.
Veröffentlicht: (1994)

Singular Probability Distributions and Fractal Properties of Sets of Real Numbers Defined by the Asymptotic Frequencies of Their s-Adic Digits
von: Pratsiovytyi, M. V., et al.
Veröffentlicht: (2005)

Approximation of continuous functions defined on the real axis by generalized Zygmund operators
von: Ostrovskaya, О. V., et al.
Veröffentlicht: (1999)

Approximation of the $\bar {\Psi}$ -integrals of functions defined on the real axis by Fourier operators
von: Sokolenko, I. V., et al.
Veröffentlicht: (2004)

Non-classical logic in the context of non-classical rationality
von: L. M. Shenherii
Veröffentlicht: (2010)

Best mean-square approximation of functions defined on the real axis by entire functions of exponential type
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2012)

The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes
von: Babenko, V. F., et al.
Veröffentlicht: (1998)

A sufficient condition for strong almost-periodicity of scalarly almost periodic representations of the group of real numbers
von: Kadets, M. I., et al.
Veröffentlicht: (1997)

Representation of deterministic graphs by defining pair of words
von: O. S. Senchenko, et al.
Veröffentlicht: (2022)

Locus History in the Classical, Non-Classical and Post Non-Classical Models of Historical Science
von: S. Malovichko, et al.
Veröffentlicht: (2012)

Approximation of $\bar {\omega}$ -integrals of continuous functions defined on the real axis by Fourier operators
von: Sokolenko, I. V., et al.
Veröffentlicht: (2004)

Comparison of Exact Constants in Inequalities for Derivatives of Functions Defined on the Real Axis and a Circle
von: Babenko, V. F., et al.
Veröffentlicht: (2003)

Bernstein-type inequalities for splines defined on the real axis
von: Babenko, V. F., et al.
Veröffentlicht: (2011)

Singularity of the digit inversor in Q₃-representation of the fractional part of a real number, its fractal and integral properties
von: I. V. Zamrii, et al.
Veröffentlicht: (2015)

Classical and non-classical verse: terminological aspects
von: Ya. V. Khodakivska
Veröffentlicht: (2019)

Approximation of functions defined on the real axis by operators generated by λ-methods of summation of their Fourier integrals
von: Zhyhallo, T. V., et al.
Veröffentlicht: (2004)

Isomorphism of Commutative Hypercomplex Number Systems and Representations of Exponential Functions in Them
von: Каліновський, Я. О., et al.
Veröffentlicht: (2012)

Uniqueness and topological properties of number representation
von: Dovgoshey, O., et al.
Veröffentlicht: (2004)

On the representation of non-linear functions by fractional-power series
von: A. A. Verlan, et al.
Veröffentlicht: (2014)

On Parameter Differentiation for Integral Representations of Associated Legendre Functions
von: Cohl, H.S.
Veröffentlicht: (2011)

History of locus in classical, non-classical and postnonclassicalmodels of historical science
von: S. Malovichko, et al.
Veröffentlicht: (2013)

Sigma-function of number of parameters for a system of matrix representations: initial concepts and examples
von: V. M. Bondarenko, et al.
Veröffentlicht: (2015)

A class of meromorphic Bazilevič-type functions defined by a differential operator
von: K. I. Noor, et al.
Veröffentlicht: (2019)

Classes of Analytic Functions Defined by a Differential Operator Related to Conic Domains
von: E. Deniz, et al.
Veröffentlicht: (2015)