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    STUDIA MATHEMATICA - Issue no. 3 / 2022  
         
  Article:   THE COMBINED SHEPARD OPERATOR OF INVERSE QUADRATIC AND INVERSE MULTIQUADRIC TYPE.

Authors:  TEODORA CĂTINAȘ, ANDRA MALINA.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2022.3.09

Published Online: 2022-09-20
Published Print: 2022-09-30
pp. 579-589

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Starting with the classical, the modified and the iterative Shepard methods, we construct some new Shepard type operators, using the inverse quadratic and the inverse multiquadric radial basis functions. Given some sets of points, we compute some representative subsets of knot points following an algorithm described by J.R. McMahon in 1986.

Mathematics Subject Classification (2010) : 41A05, 41A25, 41A80.
Keywords: Shepard operator, inverse quadratic, inverse multiquadric, knot points.
 
         
     
         
         
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