Вісник № 08

Переглянути

Зараз показуємо 1 - 2 з 2

Construction of discontinuous interlineation polynomial splines for functions of two variables
(НТУ "ХПІ", 2019) Pershyna, Iuliia Igorivna; Tokmakova, Iryna Anatoliyivna; Dumych, Yegor Andreevich
The article suggests a general method for constructing discontinuous interlineation polynomial splines, which, as a partial case, include discontinuous and continuously differentiable splines. The theorems on interlineation and approximation properties of such discontinuous structures are formulated and proved. On the basis of the constructed discontinuous splines, a method for restoration of functions of two variables with first kind discontinuities is created. The theorems on the error of the approximation of discontinuous functions by the constructed discontinuous interlineation splines are proved. Examples are given.
Representation of real numbers by Fibonacci sequence
(НТУ "ХПІ", 2019) Tokmakova, Iryna Anatoliyivna
The paper deals with imaging of real numbers by the Fibonacci sequence. An algorithm for changing from decimal representation of a number to its F−image is developed. The application of the algorithm is demonstrated by considering several specific examples. The correlation between binary numbers and numbers given as their F−images is analyzed.