کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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6422711 | 1341217 | 2014 | 8 صفحه PDF | دانلود رایگان |

In this paper, we review the previous work done on the degree of approximation of fË, conjugate of a 2Ï-periodic function f belonging to the weighted W(Lp,ξ(t))-class and its subclasses such as Lip(ξ(t),p),Lip(α,p)andLipα, and determine the degree of approximation of fË by using Hausdorff means of conjugate Fourier series of f. Since (C,1), the Cesà ro matrix of order 1, and (E,q), the Euler matrix of order q>0, are Hausdorff matrices, and the product of two Hausdorff matrices is also a Hausdorff matrix [B.E. Rhoades, N.K. Sharma, Spectral results for some Hausdorff matrices, Acta Sci. Math. 44 (1982) 359-364, p. 360, Theorem 1], our theorems generalize and improve some of the previous results. Some corollaries have also been deduced from our results.
Journal: Journal of Computational and Applied Mathematics - Volume 259, Part B, 15 March 2014, Pages 633-640