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