Biography

Prof. María A. Navascués

Universidad de Zaragoza, Spain


Email: manavas@unizar.es


Qualifications

Ph.D., University of Zaragoza, Spain


Publications (Selected)

  1. M.A. Navascués, Affine fractal functions as bases of continuous functions. Quaestiones Mathematicae, 2014.
  2. M.A. Navascués. Fractal spherical harmonics. International Journal of Analysis, Article ID 927368, 2013.
  3. A.K.B. Chand, N. Vijender, M.A. Navascués. Shape preservation of scientific data through rational fractal splines. Calcolo,  2014.
  4. M.A. Navascués. Fractal bases of Lp spaces. Fractals, 20(2), 141-148, 2012.  This article was in the list of the most read articles of the journal during the year 2013.
  5. M.A. Navascués, M. V. Sebastián. Numerical integration of affine fractal functions. J. Comp. Appl. Math., 252, 169-172, 2013.
  6. M.A. Navascués. Chebyshev approximants for experimental variables with fractal interpolation. In: Handbook on the Classification and Applications of Fractals (K. J. Brennan, ed.). Nova Sci. Publ. Series: Math. Research Developments, 343-353, 2012.  ISBN: 978-1-61324-198-1.
  7. M.A. Navascués  M. V. Sebastián. Legendre Transform of  sampled signals by fractal methods. Monografías del Seminario Matemático García de Galdeano, 37, 181-188, 2012. ISBN: 978-84-15538-15-8.
  8. M.A. Navascués. Haar fractal system. Nonlinear Analysis: Theory, Methods and Appl., 74, 4152-4165, 2011.
  9. M.A. Navascués, Reconstruction of sampled signals with fractal functions. Acta Appl. Math. 110(3), 1199-1210, 2010.
  10. M.A. Navascués, Fractal approximation. Complex Analysis and Operator Theory, 4(4), 953-974, 2010.
  11. A.K.B. Chand, M.A. Navascués. On complete bicubic fractal interpolation. Applied Mathematics, 1(3), 200-210, 2010.
  12. M.A. Navascués, Some inequalities involving a fractal operator of functions on the sphere, Math. Ineq. & Appl., 13(1), 83-98, 2010.
  13. M.A. Navascués. Local approximation of functions with several variables. Nonlinear Analysis: Theory, Methods and Appl., 73(6), 1569-1584, 2010.
  14. M.A. Navascués, M.V. Sebastián. Time domain indices and discrete power spectrum in electroencephalographic processing. Int. J. of Comp. & Math., 86(10), 1968-1978, 2009.
  15. M.A. Navascués. Local variability of non-smooth functions. Nonlinear Analysis: Theory, Methods and Appl., 70, 2506-2518, 2009.
  16. M.A. Navascués, M.V. Sebastián. Fractal-classic interpolants. In “Convex and Fractal Geometry”,BanachCenterPublications, vol. 84,  173-180, 2009.
  17. M.A. Navascués. Fractal interpolants on the unit circle. Appl. Math. Letters, 21, 366-371, 2008.
  18. A.K.B. Chand, M.A. Navascués. Natural bicubic spline fractal interpolation. Nonlinear Analysis: Theory, Methods and Appl. 69(11),  3679-3691, 2008.
  19. M.A. Navascués, Fractal interpolation on a torus, Acta Applicanda Mathematicae, 106, 93-104, 2009.
  20. M.A. Navascués, M.V. Sebastián. Fitting fractal surfaces on non-rectangular grids. Fractals 16(2), 151-158, 2008.
  21. M.A. Navascués, AKB Chand. Fundamental sets of fractal functions. Acta Appl. Math. 100, 247-261, 2008.

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