Korean J. Math. Vol. 30 No. 1 (2022) pp.43-51
DOI: https://doi.org/10.11568/kjm.2022.30.1.43

Radau quadrature for a rational almost quasi-Hermite-Fejer-type interpolation

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Published: Mar 30, 2022
Keywords:
Almost Quasi-Hermite-Fej{\'e}r-type interpolation, Radau-type quadrature, rational space, prescribed poles, Chebyshev-Markov fractions
Mathematics Subject Classification:
05C38, 15A15, 05A15, 15A18.

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Shrawan Kumar
Department of Mathematics, Techno Institute of Higher Studies, University of Lucknow, Lucknow, India.
Neha Mathur
Department of Mathematics, Techno Institute of Higher Studies, University of Lucknow, Lucknow, INDIA
Laxmi Rathour
Independent researcher, Ward number – 16, Bhagatbandh, Anuppur 484 224, Madhya Pradesh, India
Vishnu Narayan Mishra
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484 887, Anuppur, Madhya Pradesh, India
Pankaj Mathur
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India.

Abstract

The aim of this paper is to obtain a Radau type quadrature formula for a rational interpolation process satisfying the almost quasi Hermite Fej\'er interpolatory conditions on the zeros of Chebyshev Markov sine fraction on $[-1, 1)$.


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