Publications

 

31. P. Bouboulis, L. Dalla, M. Kostaki-Kosta, Construction of Smooth Fractal Surfaces Using Hermite Fractal Interpolation Functions. Bulletin of the Greek     
      Mathematical Society
, Vol 54 (2007), pp 179-196
. pdf

30. P. Bouboulis, L. Dalla, A general construction of fractal interpolation functions on Rn, European Journal of Applied Mathematics,

      Vol 18 (2007), 449-476. pdf

29. P. Bouboulis, L. Dalla, Fractal interpolation surfaces derived from fractal interpolation functions, Journal of Mathematical Analysis and Applications,

      Vol. 336, Issue 2 (2007), Pages 919-936. pdf

28. L. Dalla, E. Samiou, Curvature and q-Strict Convexity. Beitrage Algebra Geom. vol. 48 (1), 2007, 83-93.  

27. P. Bouboulis, L. Dalla, Closed Fractal Interpolation Surfaces. Journal of Mathematical Analysis and Applications, 327 (1), 2007, 116-126. pdf

26. P. Bouboulis, L. Dalla, V. Drakopoulos, Construction of Recurrent Bivariate Fractal Interpolation Surfaces and computation of their Box-Counting Dimension.       Journal of Approximation Theory, 141 (2), 2006, 99-117. pdf

25. P. Bouboulis, L. Dalla, V. Drakopoulos, Image compression using recurrent bivariate fractal interpolation functions, International Journal of Bifurcation and Chaos (IJBC), 16 (7), 2006, 2063-2071. pdf

24. L. Dalla, Telemachos Hatziafratis, Strict convexity of sets in analytic terms, J. Aust. Math. Soc. 81 (2006) 49-61. pdf

23. P. Bouboulis, L. Dalla, Hidden Variable Vector Valued Fractal Interpolation Functions, Fractals Vol. 13, No. 3 (2005)  227-232. pdf

22. L. Dalla, V. Drakopoulos, M. Prodromou, On the Box dimension for a class of non-affine fractal interpolation functions, Anal. Theory Appl. 19 (2003), no 3, 220-233. pdf

21. Leoni Dalla, Bivariate Fractal Interpolation functions on grids, Fractals, Vol. 10, No. 1 (2002), 53-58. pdf

20. L. Dalla, D. G Larman, P. Mani-Levitska, C. Zong, The blocking numbers of convex bodies, Discrete Comput. Geom., 24 (2002), 267-277.

19. Leoni Dalla, A note on the Fermat – Torricelli point of a d-simplex, Journal of Geometry, 70 (2001), 38-43. pdf

18. L. Dalla, V. Drakopoulos, On the parameter identification problem in the plane and the polar fractal interpolation functions, Journal of Approximation Theory, 101 (1999), 289 – 302. pdf

17. L. Dalla, V. Drakopoulos, Space filling curves generated by fractal interpolation functions, in Iliev O. (ed), Numerical Methods and Applications, Recent advances in numerical methods, World Scientific, Singapure, (1999), 784-792. pdf

16. L. Dalla, V Drakopoulos, V. Tziovaras, A. Bohm, Fractal interpolation techniques for the generation of space filling curves, in Lipitakis H. (ed), Hellenic European Conference in Computer Mathematics and its Applications, LEA, Athens, (1999). pdf

15. Imre Barany, Leoni Dalla, Few points to generate a convex polytope, Mathematika, 44 (1997), 325-331. pdf

14. Leoni Dalla, N.K. Tamvakis, An isoperimetric inequality in the class of simplicial polytopes, Math. Japonica, 44 (3) (1996), 569-572.pdf

13. L. Dalla, C. Damianou, An estimation of the box dimension of Greater Athens, Tech. Chron A, (1996), 9-15. pdf

12. L. Dalla, V Drakopoulos, A. Bohm, Elements of Fractal Theory, Mathematical Gazette, 43 (1995), 21-41. (in greek) pdf

11. L. Dalla, D.G. Larman, Volumes of a random polytope in a convex set, Applied Geometry and Discrete Mathematics, The “Victor Klee Festschrift”, DIMACS, Series in Discrete Math. and Comp. Science, 4 (AMS, ACM. N.Y.), (1990), 175-180. pdf

10. Leoni Dalla, On a class of some special sets on the k-skeleton of a convex compact set, Israel Journal of Mathematics, 68 (3) (1989), 353-364.pdf

  9. Leoni Dalla, S. Giotopoulos, N. Katseli, The socle and finite-dimensionality of a semiprime Banach algebra, Studia Mathematica, (1989), XCII, 201-204.pdf

  8. Leoni Dalla, Increasing paths leading to a face of a convex compact set in a Hilbert space, Acta Math. Hung., 52 (3-4) (1988), 195-198. pdf

  7. Leoni Dalla, On the measure of the one-skeleton of the sum of convex compact sets, Journal of the Australian Mathematical Society, 42 (A) (1987), 385 389.pdf

  6. Leoni Dalla, S. Giotopoulos, N. Katseli, Skeletons of the unit ball of a C*-algebra, Mathematica Balkanica, 1 (1987), 83-88. pdf

  5. Leoni Dalla, Increasing paths on the one-skeleton of a convex compact set in a normed space, Pacific Journal of Mathematics, 124 (2) (1986), 289-294. pdf

  4. L. Dalla, N. Tamvakis, Sets of constant width and diametrically complete sets in normed spaces, Bull. of the Greek Math. Soc., 26 (1985), 27-39.

  3. Leoni Dalla, The n-dimensional Hausdorff measure of the n-skeleton of a convex w-compact set (body), Math. Nachr., 123 (1985), 131-135. pdf

  2. Leoni Dalla, Some results on the k-skeleton of a compact convex set, Ph.D Thesis, University College London, University of London, (1981).

  1. Leoni Dalla, D.G.Larman, Convex bodies with almost all k-dimensional sections polytopes, Math. Proc. Camb. Phil. Soc., 88 (1980), 395-401. pdf

 

 

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