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- Title
An analysis of the convergence problem of a function of hexagonal Fourier series in generalized Hölder norm using Hausdorff operator.
- Authors
Nigam, H. K.; Kumar Sah, Manoj
- Abstract
In the present paper, we obtain the results on the degree of convergence of an H$$ H $$‐periodic continuous function in generalized Hölder spaces using Hausdorff operator with monotonically non‐decreasing and monotonically non‐increasing rows of its hexagonal Fourier series. Some important corollaries are also deduced from our main theorems. Applications of main theorems are also obtained in this paper.
- Subjects
GENERALIZED spaces; HAUSDORFF spaces; CONTINUOUS functions; FOURIER series
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 4, p2787
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9779