Open Access

Interpolation Operators on a Triangle With all Curved Sides

   | Jul 26, 2018

Cite

[1] Baboș, A., Interpolation operators on a triangle with two and three curved edges, Creat. Math. Inform. , No. 2, pp. 135-142, 2011.10.37193/CMI.2013.02.06Search in Google Scholar

[2] Baboș, A., Cheney-Sharma type operators on a triangle with two and three curved edges, Ukrainian Mathematical Journal (accepted).Search in Google Scholar

[3] Barnhill, R.E., Birkhoff, G., Gordon, W.J., Smooth interpolation in triangles, J. Approximation Theory, 8, pp. 114-128, 1973.10.1016/0021-9045(73)90020-8Search in Google Scholar

[4] Barnhill, R.E., Gregory, J.A., Polynomial interpolation to boundary data on triangles, Math. Comp., 29, pp. 726-735, 1975.10.1090/S0025-5718-1975-0375735-3Search in Google Scholar

[5] Cătinaș, T., Blaga, P., Coman, Gh., Interpolation operators on some triangles with curved sides, Analele Științifice ale Universității “Al. I. Cuza” din Iași (S.N.) Matematică, Tomul LX, pp. 450-487, 2014.10.2478/aicu-2013-0028Search in Google Scholar

[6] Cheney, E.W., Sharma, A., On a generalization on Bernstein polynomials, Analele Riv. Mat. Univ. Parma, 5, pp. 77-84, 1964Search in Google Scholar

[7] Coman, Gh., Cătinaș, T., Interpolation operators on a triangle with one curved side, BIT, 50, pp. 243-267, 2010.10.1007/s10543-010-0256-6Search in Google Scholar

[8] Blaga, P., Cătinaș, T., Coman, Gh., Bernstein-type operators on a triangles with one curved side, Mediterr. J. Math., 9, pp. 833-845, 2012.10.1007/s00009-011-0156-2Search in Google Scholar

[9] Cătinaș, T., Extension of some positive and linear operators to domain with curved sides, MATEC Web of Conferences.,68, 16006, 2016.10.1051/matecconf/20166816006Search in Google Scholar

[10] Gregory, J.A, A blending function interpolant for triangles, Multivariate Approximation, pp. 279-287, 1978.Search in Google Scholar

eISSN:
2451-3113
ISSN:
1843-6722
Language:
English