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A fractal class of generalized Jackson interpolants
, Navascués M.A., Jha S., Sebastián M.V.
Published in John Wiley & Sons
2019
Volume: 1
   
Issue: 5
Abstract
In this paper, we establish a new formula that generalizes the Jackson trigonometric interpolation for a 2π-periodic function. This generalization is done by using various positive exponents in the basic nodal functions that gives a wide variety of bases during approximation. For a Hölder continuous periodic function, we compute the uniform interpolation error bound of the corresponding generalized Jackson interpolant and prove the convergence of the proposed interpolant. We also show that the mentioned approximation procedure is stable. In the last part, we consider a family of fractal interpolants associated with the generalized Jackson approximation functions under discussion. © 2019 John Wiley & Sons, Ltd.
About the journal
JournalData powered by TypesetComputational and Mathematical Methods
PublisherData powered by TypesetJohn Wiley & Sons
ISSN25777408
Open AccessNo