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Partial shape preserving approximations by bivariate shepard operators
Partial shape preserving approximations by bivariate shepard operators
- Source :
- Computers & Mathematics with Applications. (1-2):47-56
- Publisher :
- Published by Elsevier Ltd.
-
Abstract
- Extending the results from the univariate case in a paper by Gal and Szabados, in this paper, we prove that the bivariate Shepard interpolation operators preserve the monotonicity and the convexity of bivariate functions in neighborhoods of some points.
- Subjects :
- Discrete mathematics
Monotonicity
Bivariate Shepard operators
MathematicsofComputing_NUMERICALANALYSIS
Univariate
Monotonic function
Bivariate analysis
Convexity
Interpolation
Computational Mathematics
Computational Theory and Mathematics
Shape preserving
TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY
Modeling and Simulation
Modelling and Simulation
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Applied mathematics
Computer Science::Symbolic Computation
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Issue :
- 1-2
- Database :
- OpenAIRE
- Journal :
- Computers & Mathematics with Applications
- Accession number :
- edsair.doi.dedup.....c5b614fb856934d24beb55518eccdf24
- Full Text :
- https://doi.org/10.1016/S0898-1221(01)00129-8