Work

On generalized q-de la Vallée Poussin means

Year: 2025

Type: article

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 $$2\pi $$ 2 π -periodic function and its corresponding conjugate function in the norm of Hölder.

Source: Boletín de la Sociedad Matemática Mexicana

DOI: 10.1007/s40590-025-00715-x

Authors: Péter Kórus, Xhevat Z. Krasniqi, Bogdan Szal

Institutions: University of Szeged, University of Zielona Góra

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Szegedi Tudományegyetem