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Estimates of Functions with Transformed Double Fourier Series

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The paper provides a detailed study of inequalities of complete moduli of smoothness of functions with transformed Fourier series by moduli of smoothness of initial functions. Upper and lower estimates… Click to show full abstract

The paper provides a detailed study of inequalities of complete moduli of smoothness of functions with transformed Fourier series by moduli of smoothness of initial functions. Upper and lower estimates of the norms and best approximations of the functions with transformed Fourier series by the best approximations of initial functions are also obtained.

Keywords: transformed double; functions transformed; double fourier; fourier series; estimates functions

Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2021

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