Mykola V. Pratsiovytyi

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Person:289613

Available identifiers

zbMath Open pratsiovytyi.mykolaMaRDI QIDQ289613

List of research outcomes

PublicationDate of PublicationType
\(G\)-representation of real numbers and some of its applications2024-02-06Paper
TWO-SYMBOL SYSTEM OF ENCODING OF NUMBERS AND DISCRETE DISTRIBUTIONS OF RANDOM VARIABLES2024-02-02Paper
CYLINDRICAL SETS OF E-REPRESENTATION OF NUMBERS AND FRACTAL HAUSDORFF – BESICOVITCH DIMENSION2023-12-15Paper
INFINITE-SYMBOL B-REPRESENTATION OF REAL NUMBERS AND SOME OF ITS APPLICATIONS2023-12-15Paper
Cantorvals as sets of subsums for a series connected with trigonometric functions2023-08-25Paper
Superpositions of functions with fractal properties2023-08-08Paper
One class of continuous functionswith complicated local properties related to Engel series2023-07-28Paper
THE SET OF INCOMPLETE SUMS OF THE MODIFIED GUTHRIE-NYMANN SERIES2023-04-06Paper
CONVOLUTION OF TWO SINGULAR DISTRIBUTIONS: CLASSIC CANTOR TYPE AND RANDOM VARIABLE WITH INDEPENDENT NINE DIGITS2023-04-06Paper
Continued \(A_2\)-fractions and singular functions2023-03-29Paper
INVERSOR OF DIGITS OF TWO-BASE G–REPRESENTATION OF REAL NUMBERS AND ITS STRUCTURAL FRACTALITY2022-12-16Paper
On one class of singular nowhere monotone functions2022-07-15Paper
Fractal functions of exponential type that is generated by the \(Q_2^*\)-representation of argument2022-04-19Paper
Continuous nowhere differentiable function with fractal properties defined in terms of \(Q_2\)-representation2021-11-16Paper
ABOUT ONE CLASS OF FUNCTIONS WITH FRACTAL PROPERTIES2021-09-28Paper
Academician Anatolii Mykhailovych Samoilenko (02.01.1938--04.12.2020)2021-09-24Paper
Inversor of digits \(Q^\ast_2\)-representative of numbers2021-05-31Paper
Generalization of the Tribin function2021-02-10Paper
https://portal.mardi4nfdi.de/entity/Q51360092020-11-24Paper
https://portal.mardi4nfdi.de/entity/Q51360202020-11-24Paper
https://portal.mardi4nfdi.de/entity/Q51360222020-11-24Paper
https://portal.mardi4nfdi.de/entity/Q51360262020-11-24Paper
https://portal.mardi4nfdi.de/entity/Q51360292020-11-24Paper
https://portal.mardi4nfdi.de/entity/Q51360302020-11-24Paper
One class of continuous functions related to Engel series and having complicated local properties2020-11-03Paper
https://portal.mardi4nfdi.de/entity/Q51306992020-10-28Paper
Додатні ряди, множини підсум яких є канторвалами2020-08-17Paper
Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal-Lucas sequence2020-07-02Paper
Properties and distributions of values of fractal functions related to $\boldsymbol {Q_2}$-representations of real numbers2020-03-03Paper
https://portal.mardi4nfdi.de/entity/Q52041392019-12-09Paper
Spread of values of a Cantor-type fractal continuous nonmonotone function2019-12-03Paper
Continuous distributions whose functions preserve tails of an \(A\)-continued fraction representation of numbers2019-11-07Paper
Superfractality of the set of incomplete sums of one positive series2019-09-20Paper
https://portal.mardi4nfdi.de/entity/Q53830772019-06-19Paper
https://portal.mardi4nfdi.de/entity/Q53831832019-06-19Paper
https://portal.mardi4nfdi.de/entity/Q53831842019-06-19Paper
Distribution of values of classic singular Cantor function of random argument2019-01-11Paper
https://portal.mardi4nfdi.de/entity/Q45657192018-06-12Paper
https://portal.mardi4nfdi.de/entity/Q46420352018-05-18Paper
https://portal.mardi4nfdi.de/entity/Q46043302018-02-23Paper
https://portal.mardi4nfdi.de/entity/Q45931632017-11-21Paper
https://portal.mardi4nfdi.de/entity/Q45931652017-11-21Paper
https://portal.mardi4nfdi.de/entity/Q29694312017-03-15Paper
https://portal.mardi4nfdi.de/entity/Q29596682017-02-09Paper
Level sets of asymptotic mean of digits function for 4-adic representation of real number2016-12-16Paper
https://portal.mardi4nfdi.de/entity/Q28189822016-09-27Paper
https://portal.mardi4nfdi.de/entity/Q28189842016-09-27Paper
Singularity of the digit inversor for the \(Q_3\)-representation of the fractional part of a real number, its fractal and integral properties2016-07-11Paper
Limit behavior of the Esscher premium2016-05-30Paper
The distributions of random incomplete sums of a series with positive terms satisfying the property of non-linear homogeneity2016-02-24Paper
A random variable whose digits in the $\widetilde {L}$-representation have the Markovian dependence2016-02-24Paper
On singularity and fine spectral structure of random continued fractions2016-01-29Paper
https://portal.mardi4nfdi.de/entity/Q34647272016-01-27Paper
https://portal.mardi4nfdi.de/entity/Q34647292016-01-27Paper
Characterization theorems for customer equivalent utility insurance premium calculation principle2016-01-22Paper
Probability measures on fractal curves (probability distributions on the Vicsek fractal)2015-10-01Paper
On Bernoulli convolutions generated by second Ostrogradsky series and their fine fractal properties2015-06-14Paper
https://portal.mardi4nfdi.de/entity/Q52545542015-06-09Paper
https://portal.mardi4nfdi.de/entity/Q52545552015-06-09Paper
https://portal.mardi4nfdi.de/entity/Q52535392015-05-26Paper
Frequency of a digit in the representation of a number and the asymptotic mean value of the digits2015-03-12Paper
Distribution of random variable represented by a binary fraction with three identically distributed redundant digits2015-03-04Paper
Self-affine singular and nowhere monotone functions related to the \(Q\)-representation of real numbers2014-03-27Paper
https://portal.mardi4nfdi.de/entity/Q57470192014-02-11Paper
Topological and metric properties of distributions of random variables represented by the alternating Lüroth series with independent elements2014-01-23Paper
Characterization theorems for mean value insurance premium calculation principle2014-01-08Paper
Distribution of random variable represented by binary fraction with two redundant digits 2 and 3 having the same distribution2013-06-06Paper
https://portal.mardi4nfdi.de/entity/Q46478012012-11-07Paper
https://portal.mardi4nfdi.de/entity/Q46478082012-11-07Paper
https://portal.mardi4nfdi.de/entity/Q30911012011-09-08Paper
https://portal.mardi4nfdi.de/entity/Q30090882011-06-23Paper
Fractal properties of some Bernoulli convolutions2011-04-06Paper
Singularity of the distribution of a random variable represented by an $A_{2}$-continued fraction with independent elements2011-04-06Paper
https://portal.mardi4nfdi.de/entity/Q30762152011-02-22Paper
A 2-continued fraction representation of real numbers and its geometry2011-02-22Paper
https://portal.mardi4nfdi.de/entity/Q53068822010-04-12Paper
On classification of singular measures and fractal properties of quasi-self-affine measures in R 22009-08-08Paper
https://portal.mardi4nfdi.de/entity/Q35101612008-06-26Paper
Topological and metric properties of sets of real numbers with conditions on their expansions in Ostrogradskii series2008-06-18Paper
Transformations preserving the Hausdorff-Besicovitch dimension2008-05-06Paper
Convolutions of distributions of random variables with independent binary digits2007-12-16Paper
https://portal.mardi4nfdi.de/entity/Q54307242007-12-16Paper
The Ostrogradsky series and related Cantor-like sets2007-11-29Paper
Jessen–Wintner type random variables and fractal properties of their distributions2007-02-07Paper
https://portal.mardi4nfdi.de/entity/Q54871332006-09-19Paper
https://portal.mardi4nfdi.de/entity/Q54871342006-09-19Paper
Spectral properties of image measures under the infinite conflict interaction2006-08-14Paper
Singular Probability Distributions and Fractal Properties of Sets of Real Numbers Defined by the Asymptotic Frequencies of Their s-Adic Digits2006-07-20Paper
Topological and fractal properties of real numbers which are not normal2005-11-14Paper
https://portal.mardi4nfdi.de/entity/Q56921422005-09-27Paper
https://portal.mardi4nfdi.de/entity/Q48282352004-11-24Paper
https://portal.mardi4nfdi.de/entity/Q48282462004-11-24Paper
Fractal probability distributions and transformations preserving the HausdorffBesicovitch dimension2004-06-22Paper
https://portal.mardi4nfdi.de/entity/Q44316002003-10-22Paper
https://portal.mardi4nfdi.de/entity/Q27306192001-08-08Paper
Singular and fractal properties of distributions of random variables digits of polybasic representations of which a form homogeneous Markov chain2001-07-11Paper
https://portal.mardi4nfdi.de/entity/Q45088802001-01-23Paper
https://portal.mardi4nfdi.de/entity/Q49403162000-03-02Paper
https://portal.mardi4nfdi.de/entity/Q49405672000-03-02Paper
https://portal.mardi4nfdi.de/entity/Q49377692000-02-15Paper
On the renewal of a solution of the Dirichlet boundary-value problem for a biharmonic equation1999-12-19Paper
https://portal.mardi4nfdi.de/entity/Q47027411999-12-09Paper
One class of singular complex-valued random variables of the Jessen-Wintner type1999-11-22Paper
https://portal.mardi4nfdi.de/entity/Q43962791998-06-14Paper
Singularity of distributions of random variables given by distributions of elements of the corresponding continued fraction1998-03-30Paper
https://portal.mardi4nfdi.de/entity/Q43330591997-02-19Paper
Singularity of distributions of random variables given by distributions of elements of the corresponding continued fraction1996-01-01Paper
https://portal.mardi4nfdi.de/entity/Q42839611994-03-14Paper
https://portal.mardi4nfdi.de/entity/Q39793371992-06-26Paper

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