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Convergence of Weighted (0, 2; 0)-Interpolation on the Unit Circle
S. Bahadur1 , S. Bano2
Section:Research Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.6 , pp.278-281, Dec-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i6.278281
Online published on Dec 31, 2018
Copyright © S. Bahadur, S. Bano . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: S. Bahadur, S. Bano, “Convergence of Weighted (0, 2; 0)-Interpolation on the Unit Circle,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.6, pp.278-281, 2018.
MLA Style Citation: S. Bahadur, S. Bano "Convergence of Weighted (0, 2; 0)-Interpolation on the Unit Circle." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.6 (2018): 278-281.
APA Style Citation: S. Bahadur, S. Bano, (2018). Convergence of Weighted (0, 2; 0)-Interpolation on the Unit Circle. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(6), 278-281.
BibTex Style Citation:
@article{Bahadur_2018,
author = {S. Bahadur, S. Bano},
title = {Convergence of Weighted (0, 2; 0)-Interpolation on the Unit Circle},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2018},
volume = {5},
Issue = {6},
month = {12},
year = {2018},
issn = {2347-2693},
pages = {278-281},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1006},
doi = {https://doi.org/10.26438/ijcse/v5i6.278281}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i6.278281}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1006
TI - Convergence of Weighted (0, 2; 0)-Interpolation on the Unit Circle
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S. Bahadur, S. Bano
PY - 2018
DA - 2018/12/31
PB - IJCSE, Indore, INDIA
SP - 278-281
IS - 6
VL - 5
SN - 2347-2693
ER -
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Abstract :
In this paper, we study the convergence of weighted Lacunary Pál-type interpolation on two pairwise disjoint sets of nodes obtained by projecting vertically the zeros of Legendre polynomial and its second derivative with boundary points of real line on the unit circle. Here the Lacunary data is prescribed on first set of nodes, whereas the Lagrange data on the other one.
Key-Words / Index Term :
Legendre polynomial, Weighted interpolation, Pál-type interpolation, Explicit forms
References :
[1]. J. Suranyi and P. Tura ́n, “Notes on interpolation I” , Acta. Math. Acad. Sci. Hunger, Vol. 6, pp. 67-79, 1995.
[2]. O. Ki𝑠̌, “Remarks on Interpolation (Russian)”, Acta. Math. Acad. Sci. Hungar, Vol. 11, pp. 49-64, 1961.
[3]. H.P. Dikshit, “ Pál - type Interpolation on Non - Uniformly Distributed Nodes on the Unit Circle”, Journal of computational and Applied Mathematics, Vol. 155, Issue 2, pp. 253-261, 2003.
[4]. S. Xie, “(0,1,3) interpolation on unit circle, Acta. Math. Sinica”, Vol. 39, Issue 5, pp. 690-700, 1996.
[5]. S. Bahadur and K. K. Mathur, “Weighted (0,2)*-interpolation on unit circle” , International Journal of Applied Mathematics and Statistics, Vol. 20, Issue M11, pp. 73-78, 2011.
[6]. S. Bahadur and M. Shukla, “ (0,2) - Interpolation on Unit Circle ”, International Journal of Advancements in Research and Technology, Vol. 3, Issue 1, 2014.
[7]. S. Bahadur and S. Bano, “On Weighted (0,2) - Interpolation”, Global Journal of Pure and Applied Mathematics, Vol. 13, Issue 2, pp. 319-329, 2017.
[8]. S. Bahadur, “Pál – type (0; 0, 2) − Interpolation on the Unit Circle”, Int. J. Math. Sci., Vol. 11, no. 1-2, pp. 103-111, 2012.
[9]. S. Bahadur, “(0, 2; 0)- Interpolation on the Unit Circle”, Italian Journal of Pure and App. Math., Vol. 32, pp. 57-66, 2014 .
[10]. G. Szego ̈, “Orthogonal Polynomial”, Amer. Math. Soc. Coll. Publication, pp. 159 – 190, 1959.
[11]. S. Bahadur and S. Bano,“On Weighted Pa ́l Type (0,2)- Iterpolation on the Unit Circle”, (communicated.)
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