Preserving convexity through rational cubic spline fractal interpolation function

[1]  A. K. B. Chand,et al.  A constructive approach to cubic Hermite Fractal Interpolation Function and its constrained aspects , 2013 .

[2]  A. K. B. Chand,et al.  Cubic hermite and cubic spline fractal interpolation functions , 2012 .

[3]  A. Chand.  NATURAL CUBIC SPLINE COALESCENCE HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES , 2012 .

[4]  A. Chand,et al.  Generalized hermite fractal interpolation , 2009 .

[5]  Muhammad Sarfraz,et al.  Positivity-preserving interpolation of positive data by rational cubics , 2008 .

[6]  A. Chand,et al.  CUBIC SPLINE COALESCENCE FRACTAL INTERPOLATION THROUGH MOMENTS , 2007 .

[7]  A. K. B. Chand,et al.  Generalized Cubic Spline Fractal Interpolation Functions , 2006, SIAM J. Numer. Anal..

[8]  Meng Tian,et al.  Monotonicity-Preserving Piecewise Rational Cubic Interpolation , 2006 .

[9]  P. Bouboulis,et al.  HIDDEN VARIABLE VECTOR VALUED FRACTAL INTERPOLATION FUNCTIONS , 2005 .

[10]  Rogelio Lozano,et al.  Non-linear Control for Underactuated Mechanical Systems , 2001 .

[11]  L. Berkovitz.  Convexity and Optimization in Rn , 2001 .

[12]  P. Massopust.  Fractal Functions, Fractal Surfaces, and Wavelets , 1995 .

[13]  E. Lutton,et al.  FRACTAL MODELING OF SPEECH SIGNALS , 1994 .

[14]  Maaruf Ali,et al.  USING LINEAR FRACTAL INTERPOLATION FUNCTIONS TO COMPRESS VIDEO IMAGES , 1994 .

[15]  Heping Xie,et al.  Fractals in Rock Mechanics , 2020 .

[16]  K. Birdi.  Fractals in Chemistry, Geochemistry, and Biophysics , 1993, Springer US.

[17]  Fractals in physics: applications and theoretical developments , 1992 .

[18]  John C. Clements.  Convexity-preserving piecewise rational cubic interpolation , 1990 .

[19]  Kenneth Falconer,et al.  Fractal Geometry: Mathematical Foundations and Applications , 1990 .

[20]  Michael F. Barnsley,et al.  The calculus of fractal interpolation functions , 1989 .

[21]  R. Delbourgo,et al.  Shape Preserving Interpolation to Convex Data by Rational Functions with Quadratic Numerator and Linear Denominator , 1989 .

[22]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[23]  Michael F. Barnsley,et al.  Fractal functions and interpolation , 1986 .

[24]  R. Výborný,et al.  Some Remarks on Functions with One-Sided Derivatives , 1986 .

[25]  Paolo Costantini,et al.  On monotone and convex spline interpolation , 1986 .

[26]  J. Gregory,et al.  Shape Preserving Piecewise Rational Interpolation , 1985 .

[27]  J. Gregory,et al.  The Determination of Derivative Parameters for a Monotonic Rational Quadratic Interpolant , 1985 .

[28]  W. Siebert.  Circuits, Signals and Systems , 1985 .

[29]  M. Powell,et al.  Approximation theory and methods , 1984 .

[30]  R. E. Carlson,et al.  Monotone Piecewise Cubic Interpolation , 1980 .