Zobrazeno 1 - 8 of 8 pro vyhledávání: '"Olga Rovenska"'
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Akademický článek
Approximation of classes of Poisson integrals by rectangular Fejér means
Autor: Olga Rovenska
Publikováno v: Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
The article is devoted to the problem of approximation of classes of periodic functions by rectangular linear means of Fourier series. Asymptotic equalities are found for upper bounds of deviations in the uniform metric of rectangular Fejér means on
Externí odkaz: https://doaj.org/article/780cf03200714b9291aa27f25aa84fd6
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2
Increasing mathematics students' involvement in research activities at teacher education universities
Autor: Olga Rovenska, Oksana Kondratyeva, Kateryna Vlasenko, Vitaliy Achkan
Publikováno v: Ukrainian Journal of Educational Studies and Information Technology. 10:42-56
The paper explores the problem of creating interest in mathematics students' research endeavors at teacher preparation institutions. The purpose of the study is to determine whether it is possible to organize students' scientific investigation using
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a0e0113e415b48d90c804a4972fe905a
https://doi.org/10.32919/uesit.2022.02.04
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3
An exact constant on the estimation of the approximation of classes of periodic functions of two variables by Ceśaro means
Autor: Olga Rovenska
Publikováno v: Matematychni Studii. 57:3-9
In the present work, we study problem related to the approximation of continuous $2\pi$-periodic functions by linear means of their Fourier series. The simplest example of a linear approximation of periodic function is the approximation of this funct
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d2d171dabe90d5ef81973734694cfa21
https://doi.org/10.30970/ms.57.1.3-9
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6
Integral presentation of deviations of rectangular linear means of Fourier series on classes of periodic differentiable functions
Autor: O Oleg Novikov, G Olga Rovenska
Publikováno v: Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine. 32:92-103
The paper deals with the problems of approximation in a uniform metric of periodic functions of many variables by trigonometric polynomials, which are generated by linear methods of summation of Fourier series. Questions of asymptotic behavior of the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8efd78474145e4fe71e2a16f721fcfee
https://doi.org/10.37069/1683-4720-2018-32-10
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7
Approximation of classes of Poisson integrals by Fejer sums
Autor: Olga Rovenska
Publikováno v: V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics.
For upper bounds of the deviations of Fejer sums taken over classes of periodic functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equalities give a solution of the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b365f3fe658b54e573c5684c4816ed19
https://doi.org/10.26565/2221-5646-2018-87-01
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