Aasma, Ants2024-07-122024-07-122009Aasma, A. (2009). Some notes on improvement of convergence by regular matrices. Maltepe Üniversitesi. s. 107.https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=331https://hdl.handle.net/20.500.12415/2444We consider some aspects of convergence acceleration by regular matrices M = (mnk) with real or complex entries. Classically a matrix M is called accelerating the convergence if the relation holds for every convergent sequence x = (xn) . Besides the classical concept of comparing and estimating the speeds of convergence of sequences and series we use weakened criterion, called improvement of convergence ([1]). As an application regular matrices are used for increasing the order of approximation of Fourier expansions and Zygmund means of Fourier expansions in certain Banach spaces.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object108107