Approximation and Simulation of Signal Belonging to the Generalized Weighted Lipschitz Class by ...

Aproximación y Simulación de Señal Perteneciente a la Clase de Lipschitz Generalizada Ponderada ...

Authors

DOI:

https://doi.org/10.24054/bistua.v22i2.2842

Keywords:

Generalized weighted Lipschitz class, Conjugate Fourier series, Holder inequality

Abstract

In this study, the well-known Fourier Conjugate series, which is traditionally summable through various individual methods, demonstrates enhanced convergence speed and improved signal approximation when subjected to a product transform. This work aims to establish a novel theorem for approximating signals within a specific function class, utilizing product summability of conjugate Fourier series. Additionally, a range of illustrative examples is provided to validate the proposed summability method and highlight their convergence behavior. The findings are further supported through simulations conducted using MATLAB programming.

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Author Biographies

Smita Sonker, Department of Mathematics, National Institute of Technology Kurukshetra, Kurukshetra 136119, India

1. Department of Mathematics, National Institute of Technology Kurukshetra, Kurukshetra 136119, India

2. School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India

Paramjeet Sangwan, Department of Mathematics, National Institute of Technology Kurukshetra, Kurukshetra 136119, India

1. Department of Mathematics, National Institute of Technology Kurukshetra, Kurukshetra 136119, India

 

Bidu Bhusan Jena, Faculty of Science (Mathematics), Sri Sri University, Cuttack 754006, Odisha, India

3. Faculty of Science (Mathematics), Sri Sri University, Cuttack 754006, Odisha, India

Susanta Kumar Paikray, Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, Odisha, India

4. Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, Odisha, India.

References

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Published

2024-11-02 — Updated on 2024-11-03

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How to Cite

Sonker, S., Sangwan, P., Bhusan Jena, B., & Paikray, S. K. (2024). Approximation and Simulation of Signal Belonging to the Generalized Weighted Lipschitz Class by .: Aproximación y Simulación de Señal Perteneciente a la Clase de Lipschitz Generalizada Ponderada . BISTUA REVISTA DE LA FACULTAD DE CIENCIAS BASICAS, 22(2), 1–8. https://doi.org/10.24054/bistua.v22i2.2842 (Original work published November 2, 2024)

Issue

Vol. 22 No. 2 (2024)

Section

Paper

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