What question did this study set out to answer?

The study aims to analyze the convergence rate of Jacobi polynomials using a characterized Hausdorff matrix and to estimate their wavelet approximations.

February 9, 2026Filomat0 citationsOpen Access

Wavelet-based approach for approximating Jacobi polynomial via characterized Hausdorff matrix

HNH.K. NigamCentral University of South Bihar MAManif AlamCentral University of South Bihar

Puntos clave

The study aims to analyze the convergence rate of Jacobi polynomials using a characterized Hausdorff matrix and to estimate their wavelet approximations.
Analyzed the convergence properties of Jacobi polynomials.
Utilized characterized Hausdorff matrices for approximation.
Estimated wavelet-based approximations of Jacobi polynomials.
Identified specific convergence rates for Jacobi polynomials.
Demonstrated effectiveness of the wavelet approximation methodology.

Resumen

In the present work, we aim to study the rate of convergence of Jacobi polynomial using characterized Hausdorff matrix. Another important aim of the present work is to estimate the wavelet approximation of Jacobi polynomial using characterized Hausdorff matrix.

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