On generalized q-de la Vallée Poussin means
Abstract First, we introduce the generalized q -de la Vallée Poussin means. Then, using these new means, we extend a result of Leindler (Acta Sci Math (Szeged) 29:147–162, 1968) and one of Duman (Constr Math Anal 4(2):135–144, 2021) on uniform summability of Fourier series. In addition, we use the same means to determine the degree of approximation of a $$2\pi $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>π</mml:mi> </mml:mrow> </mml:math> -periodic function and its corresponding conjugate function in the norm of Hölder.
Authors
- Bogdan Szal (ORCID: https://orcid.org/0000-0003-1091-5418)
- Xhevat Z. Krasnıqı (ORCID: https://orcid.org/0000-0002-5032-4623)
- Péter Kórus (ORCID: https://orcid.org/0000-0001-8540-6293)
Institutions
- University of Szeged (HU)
- University for Business and Technology (XK)
- Kosovo Telecom (Kosovo) (XK)
- University of Zielona Góra (PL)
Publication Details
- Journal
- Boletín de la Sociedad Matemática Mexicana
- Published
- 2025-02-03
- DOI
- https://doi.org/10.1007/s40590-025-00715-x
- Citations
- 1
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- Szegedi Tudományegyetem