eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences April 2010 22 1 285 2990 jusps-A 1055 article Ashwani Kr. Srivastava (shwani_873@yahoo.co.in) 1 P. Mathur (pankaj_mathur14@yahoo.co.in) 2 Department of Mathematics & Astromomy, Lucknow, University, Lucknow - 226007 (INDIA) Department of Mathematics, Northern India engineering College, Lucknow (INDIA) <p style="text-align: justify;">The object of this paper is to study the regularity, explicit representation and convergence of Hermite interpolation polynomial, when function values and its first derivatives are prescribed on the non uniformly distributed points obtained by vertical projection of the zeros of Legendre polynomial together with {-1, 1} on unit circle.<br /> &nbsp;</p> https://www.ultrascientist.org/paper/1055/ Interpolation Legendre polynomials regularity