 |
|
|
|
|
 |
||||
  
|
 |
 |
||
Yaroslav V. Novak
Ph.D (Physics and Mathematics)
Institute of Mathematics of the National Academy of Sciences of Ukraine,
Tereshchenkivska Str. 3, 01601, Kiev, Ukraine
Phone (office): (38044) 234–51–50
Fax: (38044) 235–20–10
E-mail: novak@imath.kiev.ua
Date and Place of Birth: 9 April 1983, Ternopil, Ukraine.
Citizenship: Ukraine
Education: Ternopil National Pedagogical University, Faculty of Physics and Mathematics, 2000–2005, Master of science, diploma with honors;
Post-graduate studies at the Institute of Mathematics of the Ukrainian Academy of Sciences under the guidance of Professor A.V. Pokrovskii, 2005–2008;
Ph.D. (in Physics and Mathematics, mathematical analysis), Institute of Mathematics of the Ukrainian Academy of Sciences, 2010. Theses: Approximation and interpolation properties of simplest fractions;
Experience:
Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev,
Junior Research Fellow, 2008 – present.
Research topics – Complex analysis, Approximation by simplest fractions.
Principal scientific results
The Hölder–Zigmund classes on a segment in terms of best local approximation by simplest fractions was characterized. In the same terms a criterion of differentiability of continuous functions and functions of the class Lp was established. It is shown that simplest Pade fractions are the limits of a sequence of simplest fractions of best uniform approximation. A criterion of simplest fractions of best uniform approximation to real continuous function on a segment was obtained
Selected Publications
1. Novak Y. V., “Characterization of Hölder-Zigmund classes on a segment in terms of local approximations by simplest fractions”. in: Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, Vol. 3 (2006), No. 4, 239–243.2. Novak Y. V., “Best Local Approximation by Simplest Fractions” . Mat. Zametki, 2008, Vol. 84, Issue 6, 882–887
3. Novak Y. V., “A criterion of the existence of continuous derivatives for functions of the class Lp on a segment in terms of local approximations by the simplest fractions”, Ukrainian, English summary, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky, 2009, no. 5, 36–40
4. Novak Y. V., “Kolmogorov-type criterion for simplest fractions” in: Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, Vol. 7 (2010), No. 2, 385–392.
5. Novak Ya. V., “Some properties of simplest fractions”, Bogolubov Readings 2007: Programs and Abstracts, International Conference On Complex Analysis And Wave Processes In Mechanics, 1, Insitute of Mathematics of the National Academy of Sciences of Ukraine, Kiev, 2007, 23–24. 6. Ya. V. Novak, “On some local approximate properties of simplest fractions”. Bogolubov Readings 2007: Programs and Abstracts. - Kiev: Insitute of Mathematics of the National Academy of Sciences of Ukraine, 2007, 116.
7. Ya. V. Novak. “On simplest fractions of best uniform approximation” in: Analytic methods of mechanics and complex analysis: international conference, Kiev, 29 June - 5 July 2009 : Abstracts. Kiev: Institute of Mathematics of the National Academy of Sciences of Ukraine, 2009, 36-37.