Vladimir Volenec

Professor
Department of Mathematics
University of Zagreb
Bijenicka cesta 30
10000 Zagreb
Croatia

Phone: (+385 1) 4605 799
Fax: (+385 1) 4680 335
E-mail:

Publication list with links to some papers

  1. V. Volenec, Variations of orthogonal basic sets in a Euclidean space, Glasnik Mat. 1(21) (1966), 45-49.
  2. Z. Kurnik und V. Volenec, Die Verallgemeinerungen des ptolemaeischen Satzes und einiger seiner Analoga in der euklidischen und den nichteuklidischen Geometrien, Glasnik Mat. 2(22) (1967), 213-243.
  3. Z. Kurnik und V. Volenec, Neue Verallgemeinerungen der ptolemaeischen Relationen in der euklidischen und den nichteuklidischen Geometrien, Glasnik Mat. 3(23) (1968), 77-86.
  4. V. Volenec, Die Summe der Projektionen eines Vektors auf die Seiten eines Simplex in affinen Raeumen, Glasnik Mat. 3(23) (1968), 95-104.
  5. V. Volenec, Verallgemeinerung eines Satzes von N. Abramescu ueber ebene Kurven, Glasnik Mat. 4(24) (1969), 123-130.
  6. V. Volenec, Einige Saetze ueber die Halbmesser von Hyperkugeln, die alle Seiten eines Simplex im En beruehren, Glasnik Mat. 4(24) (1969), 131-137.
  7. B. Pavkovic und V. Volenec, Ueber die Potenzpunkte der halbkonfokalen (n-l)-Rotationsquadriken, Glasnik Mat. 4(24) (1969), 275-282.
  8. V. Volenec, Ueber einigen algebraische und geometrische Ungleichungen, Publ. Elektrotehn. fak. Univ. Beograd No. 274 - No. 301 (1969), 103-113.
  9. V. Volenec, Generalizacije fundamentalnih teorema prostora Pn i prilozi geometriji simpleksa u En, III+84+v pp., disertacija, Zagreb 1971.
  10. V. Volenec, Die Summe der Projektionen eines Vektors auf die Seiten eines affin-regulaeren Polytops in affinen Raeumen, Glasnik Mat. 6(26) (1971), 103-112.
  11. Z. Kurnik und V. Volenec, Ueber die begleitenden Dreibeine der Raumkurve, Glasnik Mat. 6(26) (1971), 129-142.
  12. V. Volenec, Axiomatic foundation of n-dimensional pre-projective geometry, Glasnik Mat. 7(27) (1972), 93-107.
  13. B. Pavkovic und V. Volenec, Einige Saetze ueber die Rotationshyperquadriken in En mit einem gemeinsamen Brennpunkt oder einer gemeinsamen Leithyperebene, Glasnik Mat. 7(27) (1972), 109-112.
  14. Z. Kurnik und V. Volenec, Einige analitische Formeln des Raumes En, Glasnik Mat. 7(27) (1972), 255-268.
  15. V. Volenec, An axiomatic foundation of the circle plane with orthogonality, Glasnik Mat. 8(28) (1973), 85-92.
  16. J. Hunjic, M. Polonijo and V. Volenec, Uniqueness of the completion of the Euclidean plane to a Moebius plane, Glasnik Mat. 9(29) (1974), 125-130.
  17. V. Volenec, A geometric proof of Pascal's and Brianchon's theorems in Pn, Glasnik Mat. 10(30) (1975), 109-113.
  18. V. Volenec, Orthocentre and Feuerbach's hypersphere of an n-simplex, Glasnik Mat. 10(30) (1975), 311-320.
  19. V. Volenec, Axiomatic foundation of the n-dimensional Moebius geometry, Publ. Math. Debrecen 23 (1976), 89-102.
  20. V. Volenec, A generalization of the Desargues' theorem in Pn and some of its consequences, Glasnik Mat. 12(32) (1977), 99-111.
  21. V. Volenec, Projective definition of conic without use of theory of projectivities, Glasnik Mat. 12(32) (1977), 323-326.
  22. V. Volenec, Extension of Toyoda's theorem on entropic groupoids, Math. Nachr. 102 (1981), 183-188.
  23. V. Volenec, Admissible identities in complex IM-quasigroups. I, Rad JAZU 413 (1985), 61-85.
  24. V. Volenec, Kvadratne kvazigrupe, "Algebr. Conf., Novi Sad 1981", Novi Sad 1982, 69-70.
  25. V. Volenec, Admissible identities in complex IM-quasigroups. II, Rad JAZU 421 (1986), 45-78.
  26. V. Volenec, Geometry of medial quasigroups, Rad JAZU 421 (1986), 79-91.
  27. D.S. Mitrinovic, J.E. Pecaric and V. Volenec, The generalized Fermat-Torricelli point and the generalized Lhuilier-Lemoine point, Math. Rep. Acad. Sci. Canada 9 (1987), 95-100.
  28. D.S. Mitrinovic, J.E. Pecaric and V. Volenec, History, variations and generalizations of the Moebius-Neuberg theorem and the Moebius-Pompeiu theorem, Bull. Math. Soc. Sci. Math. RS Roumanie 31 (1987), 25-38.
  29. V. Volenec, UV-conconical quadruples of points on a conic, Rad JAZU 428 (1987), 71-77.
  30. V. Volenec, A characterization of the regular pentagon, Rad JAZU 428 (1987), 79-82.
  31. V. Volenec, Laterally commutative heaps and TST-spaces, Stochastica 11 (1987), 229-233.
  32. V. Volenec, Faithful homogeneous spaces over commutative groups and TST-spaces, Stochastica 11 (1987), 235-239.
  33. V. Volenec, Parallelogram spaces, laterally commutative heaps and semiaffine spaces, Mitt. Math. Sem. Giessen 185 (1988), 77-81.
  34. V. Volenec, A characterization of laterally commutative heaps, Algebra Univ. 25 (1988), 388-390.
  35. D.S. Mitrinovic, J.E. Pecaric, C. Tanasescu and V. Volenec, Inequalities involving R, r and s for special triangles, Rad JAZU 435 (1988), 75-106.
  36. D.S. Mitrinovic, J.E. Pecaric and V. Volenec, On the polar moment of inertia inequality, Rad JAZU 435 (1988), 107-110.
  37. J.E. Pecaric and V. Volenec, Interpolation of the Jensen inequality with some applications, Sitzungsber. Oesterr. Akad. Wiss. Abt. II 197 (1988), 463-467.
  38. V. Volenec, Subtractive groupoids and TST -spaces, Portug. Math. 46 (1989), 361-364.
  39. V. Volenec, Subtractive groupoids and laterally commutative heaps, Portug. Math. 47 (1990), 43-45.
  40. V. Volenec, GS-quasigroups, Cas. pest. mat. 115 (1990), 307-318.
  41. D.S. Mitrinovic, J.E. Pecaric and V. Volenec, An elementary method for maximizing of some functions, Bull. Math. Soc. Sci. Math. Roumaine 34 (1990), 34-37.
  42. V. Volenec, A characterization of parallelogram spaces, Mitt. Math. Sem. Giessen 200 (1991), 67-70.
  43. V. Volenec, Geometry of IM-quasigroups, Rad HAZU 456 (1991), 139-146.
  44. V. Volenec, Hexagonal quasigroups, Arch. Math. (Brno) 27 (1991), 113-122.
  45. D.S. Mitrinovic, J.E. Pecaric, V. Volenec and Ji Chen, Addenda to the monograph "Recent Advances in Geometric Inequalities", I, J. Ningbo Univ. 4 (1991), 79-145.
  46. V. Volenec, Heaps and right solvable Ward groupoids, J. of Algebra 156 (1993), 1-4.
  47. V. Volenec, Quadratical groupoids, Note Mat. 13 (1993), 107-115.
  48. V. Volenec, Concyclic or collinear points on a rational circular cubic or on a rational bicircular quartic, Rad HAZU 467 (1994), 77-83.
  49. V. Volenec, Regular triangles in hexagonal quasigroups, Rad HAZU 467 (1994), 85-93.
  50. M. Alic, B. Mond, J. Pecaric and V. Volenec, Inequalities for exponential functions and means, Nieuw Arch. Wisk. (4)14 (1996), 343-348.
  51. M. Alic, B. Mond, J. Pecaric and V. Volenec, Bounds for the differences of matrix means, SIAM J. Matrix Anal. Appl. 18 (1997), 119-123.
  52. V. Volenec, Parallelogram spaces and their corresponding algebraic and geometric structures, Math. Commun. 2 (1997), 15-20.
  53. J. Pecaric, V. Volenec and S.Z. Arslanagic, The Lemoine triangle transformations and the triangle inequalities, Rad HAZU 472(1997), 87-94.
  54. M. Alic, P.S. Bullen, J. Pecaric and V. Volenec, On the geometric-arithmetic mean inequality for matrices, Math. Commun. 2 (1997), 125-128.
  55. V. Volenec, D. Veljan and J. Pecaric, Inequalities for volumes of simplices in terms of their faces, Geom. Ded. 73 (1998), 57-62.
  56. M. Alic, P.S. Bullen, J. Pecaric and V. Volenec, Gerber's inequality and some related inequalities, Math. Inequal. Appl. 1 (1998), 507-516.
  57. V. Volenec, An extraordinary locus simplified, Math. Inform. Quart. 9 (1999), 72-73.
  58. V. Volenec, A generalization of the butterfly theorem, Math. Commun. 5 (2000), 157-160.
  59. V. Volenec, Squares in quadratical quasigroups, Quasigroups and Related Systems 7 (2000), 37-44.
  60. V. Volenec, The butterfly theorem for conics, Math. Commun. 7 (2002), 35-38.
  61. V. Volenec and Z. Hanjs, A property of triangles, Math. Inform. Quart. 12 (2002), 48-49.
  62. V. Volenec and Z. Kolar, GS-trapezoids in GS-quasigroups, Math. Commun. 7 (2002), 143-158.
  63. V. Volenec, Metrical relations in barycentric coordinates, Math. Commun. 8 (2003), 55-68.
  64. V. Volenec and Z. Hanjs, About the triangle, Math. Inform. Quart. 12 (2002), 84-85.
  65. Z. Kolar-Begovic and V. Volenec, DGS-trapezoids in GS-quasigroups, Math. Commun. 8 (2003), 215-218.
  66. M. Alic, P.S. Bullen, J. Pecaric and V. Volenec, Some inequalities related to Taylor´s formula, Rad HAZU 481 (2003), 39-43.
  67. V. Volenec, Circles in barycentric coordinates, Math. Commun. 9 (2004), 79-89.
  68. V. Volenec, Outer product and oriented area of a polygon in Euclidean plane, Internat. J. Pure Appl. Math. 13 (2004), 461-466.
  69. R. Kolar-Super and V. Volenec, Stammler's circles, Stammler's triangle and Morley's triangle of a given triangle, Math. Commun. 9 (2004), 16l-168.
  70. V. Volenec and Z. Kolar-Begovic, Affine-regular pentagons in GS-quasigroups, Quasigroups and Related Systems 12 (2004), 103-112.
  71. J. Beban-Brkic and V. Volenec, Butterflies in the isotropic plane, KOG (Journal of Croatian Society for Constructive Geometry and Computer Graphics) 8 (2004), 29-35.
  72. Z. Kolar-Begovic and V. Volenec, Affine regular dodecahedron in GS-quasigroups, Quasigroups and Related Systems 13 (2005), 229-236.
  73. V. Krcadinac and V. Volenec, A Class of quasigroups associated with a cubic Pisot number, Quasigroups and Related Systems, 13 (2005), 269-280.
  74. Z. Kolar-Begovic and V. Volenec, GS-deltoids in GS-quasigroups, Math. Commun. 10 (2005), 117-122.
  75. R. Kolar-Super, Z. Kolar-Begovic, V. Volenec and J. Beban-Brkic, Metrical relationships in a standard triangle in an isotropic plane, Math. Commun. 10 (2005), 143-151.
  76. V. Volenec, abcs-technology in the triangle geometry, Math. Commun. 10 (2005) , 153-161.

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