RUS  ENG
Полная версия
ЖУРНАЛЫ // Труды Института математики и механики УрО РАН

Тр. ИММ УрО РАН, 2023, том 29, номер 4, страницы 193–216 (Mi timm2048)

On the weighted trigonometric Bojanov–Chebyshev extremal problem
B. Nagy, Sz. Gy. Révész

Список литературы

1. Ambrus G., Ball K., and Erdélyi T., “Chebyshev constants for the unit circle”, Bull. Lond. Math. Soc., 45:2 (2013), 236–248  crossref  mathscinet  zmath
2. Berge C., Topological spaces, Translated from the French original by E. M. Patterson. Reprint of the 1963 translation, Dover Publications, Inc., Mineola, NY, 1997, 270 pp.  mathscinet
3. Bojanov B.D., “A generalization of Chebyshev polynomials”, J. Approx. Theory, 26:4 (1979), 293–300  crossref  mathscinet  zmath
4. Borwein P. and Erdélyi T., Polynomials and polynomial inequalities, Ser. Grad. Texts in Math., 161, Springer-Verlag, NY, 1995, 480 pp.  crossref  mathscinet
5. Farkas B. and Nagy B., “Transfinite diameter, Chebyshev constant and energy on locally compact spaces”, Potential Anal., 28:3 (2008), 241–260  crossref  mathscinet  zmath
6. Farkas B., Nagy B., and Révész Sz. Gy., “A minimax problem for sums of translates on the torus”, Trans. London Math. Soc., 5:1 (2018), 1–46  crossref  mathscinet  zmath
7. Farkas B., Nagy B., and Révész Sz. Gy., “On intertwining of maxima of sum of translates functions with nonsingular kernels”, Trudy Instituta Matematiki i Mekhaniki UrO RAN, 28:4 (2022), 262–272  mathnet  crossref  mathscinet
8. Farkas B., Nagy B., and Révész Sz. Gy., “On the weighted Bojanov–Chebyshev problem and the sum of translates method of Fenton”, Sbornik Math., 214:8 (2023), 119–150 ((in Russian))  mathnet  crossref
9. Farkas B., Nagy B., and Révész Sz. Gy., “A homeomorphism theorem for sums of translates”, Rev. Mat. Complut., 49 pp.  crossref
10. Farkas B., Nagy B., and Révész Sz. Gy., “Fenton type minimax problems for sum of translates functions”, [e-resource], 27 pp., arXiv: https://arxiv.org/pdf/2210.04348.pdf  crossref
11. Fenton P.C., “A min-max theorem for sums of translates of a function”, J. Math. Anal. Appl., 244:1 (2000), 214–222  crossref  mathscinet  zmath
12. Fenton P.C., “{$\cos\pi\lambda$} again”, Proc. Amer. Math. Soc., 131:6 (2003), 1875–1880  crossref  mathscinet  zmath
13. Hardin D.P., Kendall A.P., and Saff E.B., “Polarization optimality of equally spaced points on the circle for discrete potentials”, Discrete Comput. Geom., 50:1 (2013), 236–243  crossref  mathscinet  zmath
14. Rankin R.A., “On the closest packing of spheres in $n$ dimensions”, Ann. of Math., 48:4 (1947), 1062–1081  crossref  mathscinet  zmath
15. Saff E.B. and Totik V., Logarithmic potentials with external fields, Appendix B by Thomas Bloom, Springer-Verlag, Berlin, 1997, 505 pp.  crossref  mathscinet  zmath


© МИАН, 2026