An evaluation of mixed type polynomial approximation with certain condition on the roots of Hermite polynomial

DOI:

https://doi.org/10.26637/MJM0802/0039

Abstract

The purpose of this paper is to find a polynomial Rn(x) of degree (3n1) satisfying (1,0;0) interpolation under certain condition at given knots, also explicit representation of fundamental polynomials and convergence theorem of Rn(x) has been analyzed.

Keywords:

Hermite polynomial, Explicit representation, Approximation on real line, Estimation

Mathematics Subject Classification:

Mathematics
  • R. Srivastava Department of Mathematics and Astronomy, Lucknow University, Lucknow-226007, India.
  • Dhananjay Ojha Department of Mathematics and Astronomy, Lucknow University, Lucknow-226007, India.
  • Pages: 551-555
  • Date Published: 01-04-2020
  • Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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  • NA

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Published

01-04-2020

How to Cite

R. Srivastava, and Dhananjay Ojha. “An Evaluation of Mixed Type Polynomial Approximation With Certain Condition on the Roots of Hermite Polynomial”. Malaya Journal of Matematik, vol. 8, no. 02, Apr. 2020, pp. 551-5, doi:10.26637/MJM0802/0039.