Manisha Shukla - Academia.edu (original) (raw)

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Papers by Manisha Shukla

Research paper thumbnail of Weighted Pál-Type Interpolation on the Unit Circle

WEIGHTED PAL-TYPE INTERPOLATION ON THE UNIT CIRCLE 1 Swarnima Bahadur and 2 Manisha Shukla Depart... more WEIGHTED PAL-TYPE INTERPOLATION ON THE UNIT CIRCLE 1 Swarnima Bahadur and 2 Manisha Shukla Department of Mathematics and Astronomy University of Lucknow, Lucknow 226007, Uttar Pradesh, India _________________________________________________________________________________________ Abstract: In this paper, we consider explicit forms and convergence of Paltype (0;1) interpolation on two disjoint set of nodes, which are obtained by projecting vertically the zeros of the and

Research paper thumbnail of On the Derivative of Jacobi’s Polynomial

Asian Journal of Mathematics and Applications, 2014

In this paper, we consider Hermite interpolation on the nodes , which are obtained by vertically ... more In this paper, we consider Hermite interpolation on the nodes , which are obtained by vertically projected zeros of the (1-x 2 )Pn(x) on the unit circle, where Pn(x) stands for Jacobi polynomial . We obtain the explicit forms and establish a convergence theorem for the interpolatory polynomial.

Research paper thumbnail of A new kind of Hermite interpolation

Advances in Inequalities and Applications, Oct 27, 2013

In this paper, we study the convergence of Hermite interpolation polynomials on the nodes obtaine... more In this paper, we study the convergence of Hermite interpolation polynomials on the nodes obtained by projecting vertically the zeros of 1 − x 2 P (α,β) n (x), where P (α,β) n (x) stands for the Jacobi polynomial.

Research paper thumbnail of Hermite – Lagrange Interpolation on the Unit Circle

Journal of Advances in Mathematics, Jun 22, 2014

In this paper, we consider explicit representations and convergence of Hermite- Lagrange Interpol... more In this paper, we consider explicit representations and convergence of Hermite- Lagrange Interpolation on two disjoint sets of nodes, which are obtained by projecting vertically the zeros of 􀀀1 􀀀 x2P(;) n (x) and P(;)0 n (x) on the unit circle respectively, where P(;) n (x) stands for Jacobi polynomials.

Research paper thumbnail of Weighted Pál-Type Interpolation on the Unit Circle

WEIGHTED PAL-TYPE INTERPOLATION ON THE UNIT CIRCLE 1 Swarnima Bahadur and 2 Manisha Shukla Depart... more WEIGHTED PAL-TYPE INTERPOLATION ON THE UNIT CIRCLE 1 Swarnima Bahadur and 2 Manisha Shukla Department of Mathematics and Astronomy University of Lucknow, Lucknow 226007, Uttar Pradesh, India _________________________________________________________________________________________ Abstract: In this paper, we consider explicit forms and convergence of Paltype (0;1) interpolation on two disjoint set of nodes, which are obtained by projecting vertically the zeros of the and

Research paper thumbnail of On the Derivative of Jacobi’s Polynomial

Asian Journal of Mathematics and Applications, 2014

In this paper, we consider Hermite interpolation on the nodes , which are obtained by vertically ... more In this paper, we consider Hermite interpolation on the nodes , which are obtained by vertically projected zeros of the (1-x 2 )Pn(x) on the unit circle, where Pn(x) stands for Jacobi polynomial . We obtain the explicit forms and establish a convergence theorem for the interpolatory polynomial.

Research paper thumbnail of A new kind of Hermite interpolation

Advances in Inequalities and Applications, Oct 27, 2013

In this paper, we study the convergence of Hermite interpolation polynomials on the nodes obtaine... more In this paper, we study the convergence of Hermite interpolation polynomials on the nodes obtained by projecting vertically the zeros of 1 − x 2 P (α,β) n (x), where P (α,β) n (x) stands for the Jacobi polynomial.

Research paper thumbnail of Hermite – Lagrange Interpolation on the Unit Circle

Journal of Advances in Mathematics, Jun 22, 2014

In this paper, we consider explicit representations and convergence of Hermite- Lagrange Interpol... more In this paper, we consider explicit representations and convergence of Hermite- Lagrange Interpolation on two disjoint sets of nodes, which are obtained by projecting vertically the zeros of 􀀀1 􀀀 x2P(;) n (x) and P(;)0 n (x) on the unit circle respectively, where P(;) n (x) stands for Jacobi polynomials.

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