Seminormed approximation of functions by operators based on their Fourier series

This paper deals with the degree of approximation by an operator based on the partial sum of the Fourier series of a function of class L-p, p >= 1. We use modulus of continuity of the function satisfying weaker conditions than those used by Deger and Bayindir [On the degree of approximation by the Woronoi-Norlund and Riesz type means in the GHM, Azerb. J. Math., 8 (2018), 122-141]. The results of our paper also improve those of Singh and Sonker [Degree of approximation of function in H-p(w) in generalized Holder metric by matrix means, Mathematical modelling and scientific computation, 1-10, Commun. Comput. Inf. Sci., 283, Springer, Heidelberg, 2012]. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.