Next seminar
Dear Colleagues! V. Kupradze Institute of Mathematics of the University of Georgia is pleased to invite you to the Online Tbilisi Analysis & PDE Seminar. The seminar is held bi-weekly on Wednesdays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).
Talk on April 22, 2026
Speaker: Professor Jürgen Prestin, University of Lübeck, Germany;
E-mail: juergen.prestin@uni-luebeck.de;
https://research.uni-luebeck.de/en/persons/jürgen-prestin/
The title of the lecture: “Interpolation for functions of bounded variation”
Abstract: The talk will deal with error estimates in Lp norms for polynomial interpolation. The concept of bounded variation proves to be very useful in order to also consider interpolation for discontinuous functions in a meaningful way. In order to transfer such error estimates to the multivariate case, a concept of multivariate bounded variation is required. Here we use the Hardy-Krause version of the definition of bounded variation, which we also apply to the general d-variate case. In the case of interpolation methods, we compare blending approaches with tensor product interpolation and interpolation on the sparse grid.
This talk is a joint work with Evgeniya Semenova (Institute of Mathematics, NASU Kyiv).
References
[1] J. Prestin, Y.V. Semenova, A Boolean sum interpolation for multivariate functions of bounded variation, Front. Appl. Math. Stat. 10:1489137 (2024).
[2] J. Prestin, M. Tasche, Trigonometric interpolation for bivariate functions of bounded variation, in: Approximation and Function Spaces, Banach Center Publ., Vol. 22, PWN, Warsaw 1989, 309-321.
Download Poster: Link to Download
How to join: The seminar is organized on the Google Meet platform. If you are already registered, you do not need to register again. Otherwise, to join the seminar, please send an email to kim@ug.edu.ge or register here:
https://forms.gle/xfQJ9fg1uqe7CrZw6
You will then receive further information.
Google Meet Join Information
| Video Call Link: | https://meet.google.com/fes-ughx-mob |
| Invitation (Calendar) Link: | https://calendar.app.google/dx7GaWTab2TZF4aX7 |
Organizers:
1. R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi, Georgia
2. E. Shargorodsky, Department of Mathematics, King’s College London, UK
3. A. Meskhi, Kutaisi International University, Kutaisi, Georgia
Secretary:
M. Tsaava, Institute of Mathematics, University of Georgia, Tbilisi, Georgia
Technical support:
G. Tutberidze, Institute of Mathematics, University of Georgia, Tbilisi, Georgia
T. Kuzmina, Institute of Mathematics, University of Georgia, Tbilisi, Georgia
Seminar of our partners:
Seminar on Analysis, Differential Equations, and Mathematical Physics
