Nikolay Kirov
Research interests
Approximation of plane convex compacta by polygons
REFFERENCE
P. Kenderov, N. Kirov, A Dynamical System Approach to the Polygonal
Approximation of Plane Convex Compacts,
J. Approx. Theory74,
No 1, (1993) 1-15. [ Abstract | Paper
postscript | Paper DVI+PCX ]
P. G. Georgiev, A contraexample from the approximation of plane
convex compacta by inscribed polygons,
Proceeding of the 15-th Spring
Conference of the Union of Bulgarian Mathematicians (1986), 196-201.
Y. Yotov, K. M. Christov, System for the construction of a m-polygon
for the best approximation of a convex n-polygon,
Proceeding of the
24-th Spring Conference of the Union of Bulgarian Mathematicians (1985),
412-421, (in Bulgarian).
M. Nedelcheva, Characterization of convex subsets of the plane through
their local approximation properties,
SERDICA Bulgarical Mathematical
Publications11 (1985), 165-170.
N. V. Zhivkov, A necessary condition for best Hausdorff approximation
of plane convex compacta by polygons,
Colloq. Math. Soc. Janos Bolyai,48,
Intuitive Geometry, Siofok, (1985), 663-687.
P. G. Georgiev, Approximation of convex n-gons by (n-1)-gons,
Proceeding
of the 13-th Spring Conference of the Union of Bulgarian Mathematicians
(1984), 289-303, (in Bulgarian).
P. M. Gruber, Approximation of convex bodies, In: Convexity and
Its Applications (eds. P. M. Gruber and J. M. Wills), Birkhaeuser, Basel
1983, 131-162.
P. S. Kenderov, Polygonal approximation of plane convex compacts,
J.
Approx. Theory38 (1983), 221-239.
P. Gruber and P. Kenderov, Approximation of convex bodies by polytops,
Rend.
Circ. Mat. Palermo (2) 31 (1982), 195-225.
N. V. Zhivkov, Plane polygonal approximation of bounded convex sets,
Comp.
rend. Acad. bul. Sci.,
35, No 12, (1982), 1631-1634.
P. M. Gruber, Approximation of convex bogies by polytopes,
Comp.
rend. Acad. bul. Sci.,
34, (1981), 621-622.
P. S. Kenderov, Approximation of plane convex compacta by polygons,
Comp.
rend. Acad. bul. Sci.,
33, (1980), 889-891.
E. D. McClure and R. A. Vitale, Polygonal approximation of plane
convex bodies,
J. Math. Anal. Appl.51 (1975), 326-358.
R. P. Ivanov, Approximation of convex n-gons by inscribed (n-1)-gons,
Proceeding
of the 2-nd Spring Conference of the Union of Bulgarian Mathematicians
(1973), 115-122, (in Bulgarian).
V. Popov, Approximation of convex sets,
Bull. Inst. Math. Bulgar.
Acad. Sci.11 (1970), 67-79, (in Bulgarian).
V. A. Popov, Approximation of convex figures,
Comp. rend. Acad.
bul. Sci.,
21, (1968), 993-995, (in Russian).
F. Toth, Approximation by polygons and polyhedra,
Bull. Amer.
Math. Soc.54 (1948), 431-438.