Integrability and L 1-Convergence of Modified Sine Sums
نویسندگان
چکیده
منابع مشابه
Integrability and L- Convergence of Rees-stanojević Sums with Generalized Semi-convex Coefficients of Non-integral Orders
be the Fourier cosine series. The problem of L-convergence of the Fourier cosine series (1.1) has been settled for various special classes of coefficients. Young [9] found that an logn = o(1), n → ∞ is a necessary and sufficient condition for the L-convergence of the cosine series with convex (△an ≥ 0) coefficients, and Kolmogorov [8] extended this result to the cosine series with quasi-convex ( ∞
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The problem of L1-convergence of the Fourier cosine series (1.1) has been settled for various special classes of coefficients. Young [6] found that an logn= o(1), n→∞ is a necessary and sufficient condition for cosine series with convex (∆an ≥ 0) coefficients, and Kolmogorov [5] extended this result to the cosine series with quasi-convex ( ∑∞ n=1n|∆an−1| < ∞) coefficients. Later, Garrett and St...
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ژورنال
عنوان ژورنال: gmj
سال: 2004
ISSN: 1572-9176,1072-947X
DOI: 10.1515/gmj.2004.99