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### Paikray, S. K.

- Approximation of Signals in the Weighted Zygmund Class via Euler-Hausdorff Product Summability Mean of Fourier Series

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1 Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha 768018, IN

2 Department of Mathematics, Gauhati University, Guwahati 781014, IN

#### Authors

**Affiliations**

1 Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha 768018, IN

2 Department of Mathematics, Gauhati University, Guwahati 781014, IN

#### Source

The Journal of the Indian Mathematical Society, Vol 87, No 1-2 (2020), Pagination: 22–36#### Abstract

Approximation of functions of Lipschitz and zygmund classes have been considered by various researchers under different summability means. In the proposed paper, we have studied an estimation of the order of convergence of Fourier series in the weighted Zygmund class*W(Z*by using Euler-Hausdorff product summability mean and accordingly established some (presumably new) results. Moreover, the results obtained here are the generalization of several known results.

_{r}^{(ω)})#### Keywords

Degree of Approximation, Weighted Zygmund Class, Trigonometric Fourier Series, Euler Mean, Hausdorff Mean.#### References

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