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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 545 - 556 (12page)
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초록· 키워드
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A good amount of work has been done on degree of approximation of functions belonging to Lipα, Lip (α, r) ; Lip (ξ(t), r) and W (Lr, ξ(t)) classes using Cesaro, Norlund and generalised Norlund single summability methods by a number of researchers ([1], [10],[8], [6], [7], [2], [3], [4], [9]). But till now, nothing seems to have been done so far to obtain the degree of approximation of functions using (N; pn)(C; 1) product summability method.
Therefore the purpose of present paper is to establish two quite new theorems on degree of approximation of function f ∈ Lip (α, r) class and f ∈ W (Lr, ξ(t)) class by (N, pn)(C, 1)product summability means of its Fourier series.
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참고문헌 (12)
참고문헌 신청
A. Zygmund / 1959 / Trigonometric series, 2nd rev. ed / Cambridge Univ. Press
B. E. Rhaodes / 2003 / On degree of approximation of functions belonging to lipschitz class by Hausdorff means of its Fourier series / Tamkang Journal of Mathematics 34 (3) :
B. N. Sahney / 1973 / On the degree of continuous functions / Ranchi University Math. Jour. 4 : 50 ~ 53
E. C. Titchmarsh / 1939 / The Theory of functions / Oxford Univ. Press : 402 ~ 403
G. Alexits / 1961 / Convergence problems of orthogonal series, Translated from German by I Folder. International series of Monograms in Pure and Applied Mathematics, 20 / Pergamon Press
B. E. Rhaodes / 2003 / On degree of approximation of functions belonging to lipschitz class by Hausdorff means of its Fourier series / Tamkang Journal of Mathematics 34 (3) :
B. N. Sahney / 1973 / On the degree of continuous functions / Ranchi University Math. Jour. 4 : 50 ~ 53
E. C. Titchmarsh / 1939 / The Theory of functions / Oxford Univ. Press : 402 ~ 403
G. Alexits / 1961 / Convergence problems of orthogonal series, Translated from German by I Folder. International series of Monograms in Pure and Applied Mathematics, 20 / Pergamon Press
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