Approximation of Integrable Functions by General Linear Operators of Their Fourier Series  

作　　者：Wodzimierz LENSKI Bogdan SZAL 

机构地区：[1]Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gra

出　　处：《Acta Mathematica Sinica,English Series》2012年第6期1119-1134,共16页数学学报（英文版）

摘　　要：The pointwise estimates of the deviation Tn,A,Bf（·） -- f（·） in terms of moduli of continuity w. f and w. f there are proved. Analogical results on norm approximation with remarks and corollaries are also given. In the results there are used the essentially weaker conditions than these in [Mittal, M. L.： J. Math. Anal. Appl., 220, 434-450） （1998） Theorem 1, p. 4377.The pointwise estimates of the deviation Tn,A,Bf（·） -- f（·） in terms of moduli of continuity w. f and w. f there are proved. Analogical results on norm approximation with remarks and corollaries are also given. In the results there are used the essentially weaker conditions than these in [Mittal, M. L.： J. Math. Anal. Appl., 220, 434-450） （1998） Theorem 1, p. 4377.

关 键 词：Rate of approximation summability of Fourier series 

分 类 号：O177[理学—数学] O174.21[理学—基础数学]