Journal : Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
Article : On the pointwise approximation by Taylor means

Authors :
Anioł, G.
Faculty of Mathematics and Computer Science Adam Mickiewicz University, Jana Matejki 48/49, 60-769 Poznań, Poland, ganiol@amu.edu.pl,
Banaś, J.
Department of Mathematics Technical University of Rzeszów W.Pola 2, 35-959 Rzeszów, piejko@prz.rzeszow.pl,
Bedouhene, F.
Depart.Maths.Faculté Sciences, Université de Tizi-Ouzou, Algérie, morsli@ifrance.com,
Benchohra, M.
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece, antouyas@cc.uci.gr,
Bilgin, T.
Department of Mathematics University of 100.Yil, Van-Turkey,
Cichoń, M.
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland, mcichon@amu.edu.pl,
Derrab, F.
Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria,
Wang, J. C.
Department of Math., Suzhou University Suzhou, 215006, P.R. China,
Kita, H.
Department of Mathematics, Faculty of Education Kagoshima University, Korimoto 1-chome Kagoshima 890-0065, Japan, hkita@edu.kagoshima-u.ac.jp,
Misiak, A.
Instytut Matematyki, Politechnika Szczecińska, Al.Piastów 17, 70-310 Szczecin, misiak@arcadia.tuniv.szczecin.pl,
Narloch, A.
Szczecin University, Institute of Mathematics ul. Wielkopolska 15, 70-451 Szczecin, Poland, narloch@sus.univ.szczecin.pl,
Pradolini, G.
Programa Especial de Matematica Aplicata. Universidad Nacional del Litoral. Guernes 3450, 3000, santa Fe, Rep. Argentina,
Roszak, B.
Institute of Mathematics, University of Zielona Góra Plac Słowiański 9, 65-069 Zielona Góra, Poland, brosz@lord.wsp.zgora.pl,
Abstract : In this paper, the rates of approximation of Lebesgue-integrable functions by the Taylor means of their Fourier series are estimated by the characteristics created by the relation defining the Lebesgue-type points. Some corollaries for Lipschitz functions are also derived.

Keywords : summability of Fourier series, pointwise approximation,
Publishing house : Polskie Towarzystwo Matematyczne
Publication date : 2001
Number : [Z] 41
Page : 171 – 181

Bibliography
:
DOI :
Qute : Anioł, G. ,Banaś, J. ,Bedouhene, F. ,Benchohra, M. ,Bilgin, T. ,Cichoń, M. ,Derrab, F. ,Wang, J. C. ,Kita, H. ,Misiak, A. ,Narloch, A. ,Pradolini, G. ,Roszak, B. ,Roszak, B. , On the pointwise approximation by Taylor means. Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae [Z] 41/2001
facebook