Karvatskyi Dmytro
Publications
Selected scientific papers:
1. Karvatsky D. M., Vasilenko N. M. Mathematical structures in the space of generalized Fibonacci sequences // Trans. Natl. Pedagog. Dragomanov Univ. Ser. 1. Phys. Math. - 2012. - Vol. 13, no. 1. - P. 118-127. (in Ukrainian)
2. Karvatsky D. M. Representation of real numbers by infinitesimal positive generalized Fibonacci sequences // Trans. Natl. Pedagog. Dragomanov Univ. Ser. 1. Phys. Math. - 2013. - Vol. 15, no. 1. - P. 56-73. (in Ukrainian)
3. Karvatsky D. M. Properties of the distribution of a random incomplete sum for series whose terms are elements of generalized Fibonacci sequence // Bukovinian Mathematical Journal. - 2015. - Vol. 3, no. 1. - P. 52-59. (in Ukrainian)
4. Pratsyovitiy M. V., Karvatskiy D. M. Jacobsthal-Lucas series and their applications // Algebra and discrete mathematics. - 2017. - Vol. 24, ¹ 1. P. 169–180.
http://admjournal.luguniv.edu.ua/index.php/adm/article/view/297
5. Pratsiovytyi M., Karvatsky D. The property of the set of subsums for series whose terms are elements of generalized Fibonacci sequence // Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 2019, Vol. 16, no. 3, P. 7-18. (in Ukrainian)
https://trim.imath.kiev.ua/index.php/trim/article/view/478/483
6. Pratsiovytyi M. V., Makarchuk O. P., Karvatsky D. M. Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal–Lucas sequence // Rand. Oper. and Stoch. Equat. - 2020. - Vol. 28, ¹ 2. - P. 123-130.
DOI: 10.1515/rose-2020-2033
7. Pratsiovytyi M. V., Karvatskyi D. M. The set of subsums for modified Guthrie-Nymann's series // Bukovinian Mathematical Journal. — 2022. — Vol. 10, ¹ 2. — P. 195-203. (in Ukrainian)
DOI:https://doi.org/10.31861/bmj2022.02.15
8. Pratsiovytyi M., Karvatskyi D. Cantorvals as sets of subsums for a series connected with trigonometric functions // Proceedings of the International Geometry Center. — 2023. — Vol. 16, Issue 3-4. — P. 262-271.
1. Karvatsky D. M., Vasilenko N. M. Mathematical structures in the space of generalized Fibonacci sequences // Trans. Natl. Pedagog. Dragomanov Univ. Ser. 1. Phys. Math. - 2012. - Vol. 13, no. 1. - P. 118-127. (in Ukrainian)
2. Karvatsky D. M. Representation of real numbers by infinitesimal positive generalized Fibonacci sequences // Trans. Natl. Pedagog. Dragomanov Univ. Ser. 1. Phys. Math. - 2013. - Vol. 15, no. 1. - P. 56-73. (in Ukrainian)
3. Karvatsky D. M. Properties of the distribution of a random incomplete sum for series whose terms are elements of generalized Fibonacci sequence // Bukovinian Mathematical Journal. - 2015. - Vol. 3, no. 1. - P. 52-59. (in Ukrainian)
4. Pratsyovitiy M. V., Karvatskiy D. M. Jacobsthal-Lucas series and their applications // Algebra and discrete mathematics. - 2017. - Vol. 24, ¹ 1. P. 169–180.
http://admjournal.luguniv.edu.ua/index.php/adm/article/view/297
5. Pratsiovytyi M., Karvatsky D. The property of the set of subsums for series whose terms are elements of generalized Fibonacci sequence // Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 2019, Vol. 16, no. 3, P. 7-18. (in Ukrainian)
https://trim.imath.kiev.ua/index.php/trim/article/view/478/483
6. Pratsiovytyi M. V., Makarchuk O. P., Karvatsky D. M. Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal–Lucas sequence // Rand. Oper. and Stoch. Equat. - 2020. - Vol. 28, ¹ 2. - P. 123-130.
DOI: 10.1515/rose-2020-2033
7. Pratsiovytyi M. V., Karvatskyi D. M. The set of subsums for modified Guthrie-Nymann's series // Bukovinian Mathematical Journal. — 2022. — Vol. 10, ¹ 2. — P. 195-203. (in Ukrainian)
DOI:https://doi.org/10.31861/bmj2022.02.15
8. Pratsiovytyi M., Karvatskyi D. Cantorvals as sets of subsums for a series connected with trigonometric functions // Proceedings of the International Geometry Center. — 2023. — Vol. 16, Issue 3-4. — P. 262-271.