eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August 2010 22 2 369 374 jusps-A 980 article K.K. MATHUR 1 S. BAHADUR 1 Department of Mathematics and Astronomy, Lucknow University, Lucknow 226007 (INDIA) <p>Let</p> <p>z_o = 1,&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;z_2n+1 = - 1,&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; z_k = cos &cent;_k + i sin &cent;_k</p> <p>z _n+k =z_k&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;k = 1(1) n</p> <p style="text-align:justify">be the vertical projections on unit circle of the zeros of (1-x²) P_n (x), where P_n (x) stands for n^thLegendre polynomial having zeros x_k = cos &cent;_k, k = 1(1) n such that 1 &gt; x₁ &gt; &hellip; &gt; x_n &gt; - 1. In this paper, we obtain regularity, explicit representation and convergence of mixed type (0, 1, 3)-interpolation on unit circle.</p> https://www.ultrascientist.org/paper/980/ Interpolation on Unit Circle