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.