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 ...

Smita Sonker; Paramjeet Sangwan; Bidu Bhusan Jena; Susanta Kumar Paikray

doi:10.24054/bistua.v22i2.2842

Autores/as

Smita Sonker Department of Mathematics, National Institute of Technology Kurukshetra, Kurukshetra 136119, India https://orcid.org/0000-0002-7396-2935
Paramjeet Sangwan Department of Mathematics, National Institute of Technology Kurukshetra, Kurukshetra 136119, India https://orcid.org/0000-0001-6061-5208
Bidu Bhusan Jena Faculty of Science (Mathematics), Sri Sri University, Cuttack 754006, Odisha, India https://orcid.org/0000-0003-1080-7150
Susanta Kumar Paikray Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, Odisha, India https://orcid.org/0000-0003-4465-7621

DOI:

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

Palabras clave:

Generalized weighted Lipschitz class, Conjugate Fourier series, Holder inequality

Resumen

En este estudio, la conocida serie conjugada de Fourier, tradicionalmente sumable mediante varios métodos individuales, demuestra una mayor velocidad de convergencia y una mejor aproximación de señales al aplicarse una transformación de producto. Este trabajo tiene como objetivo establecer un nuevo teorema para aproximar señales dentro de una clase específica de funciones, utilizando la sumabilidad en producto de series conjugadas de Fourier. Además, se presentan una serie de ejemplos ilustrativos para validar el método de sumabilidad propuesto y destacar su comportamiento de convergencia. Los resultados se respaldan mediante simulaciones realizadas en programación MATLAB.

Descargas

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Biografía del autor/a

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.

Citas

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