SIMULTANEOUS APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVE ON ROOTS OF ULTRASPHERICAL POLYNOMIAL

The purpose of this paper is to find an interpolatory polynomial Sm(x) satisfying (0,1;0) interpolation under certain special type of boundary conditions at given knots. Here the knots are the zeroes of Ultraspherical polynomial for k = 1. In the following paper we prove the explicit representation of fundamental polynomials, their existence and the order of convergence has also been studied.

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Publication Details

Journal
jnanabha
Published
2025-01-01
DOI
https://doi.org/10.58250/jnanabha.2025.55128
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
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article

SIMULTANEOUS APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVE ON ROOTS OF ULTRASPHERICAL POLYNOMIAL

Surendra Rai, Rekha Srivastava
jnanabha
Iterative Methods for Nonlinear Equations
article

SIMULTANEOUS APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVE ON ROOTS OF ULTRASPHERICAL POLYNOMIAL

Surendra Rai, Rekha Srivastava
article en

Abstract

The purpose of this paper is to find an interpolatory polynomial Sm(x) satisfying (0,1;0) interpolation under certain special type of boundary conditions at given knots. Here the knots are the zeroes of Ultraspherical polynomial for k = 1. In the following paper we prove the explicit representation of fundamental polynomials, their existence and the order of convergence has also been studied.

jnanabhaVol. 55(01)
Openalex Percentile: Top 71%
Iterative Methods for Nonlinear Equations
DOISourceOpenAlex
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SIMULTANEOUS APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVE ON ROOTS OF ULTRASPHERICAL POLYNOMIAL — Surendra Rai, Rekha Srivastava · jnanabha (2025) | TGRS Research Map | TGRS