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. Theory***74**,
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
Publications***11** (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. Theory***38** (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.