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Behavior of Partial Sums of Wavelet Series

โœ Scribed by Noli N. Reyes


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
110 KB
Volume
103
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES


Sums of Triple Harmonic Series
โœ Michael E. Hoffman; Courtney Moen ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 162 KB

For positive integers a, b, c with a 2, let A(a, b, c) denote the triple harmonic series We show that the sum of the A(a, b, c) with a+b+c=n is `(n)= i 1 1ร‚i n . A similar identity for double harmonic series goes back to Euler.

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Let f z szqร a z be the sequence of partial sums of a function a z that is analytic in z -1 and either starlike of order โฃ or ks 2 k ร„ 4 convex of order โฃ, 0 F โฃ -1. When the coefficients a are ''small,'' we deterk ร„ ลฝ . ลฝ 4 ร„ ลฝ . ลฝ .4 ร„ ลฝ . X ลฝ .4 mine lower bounds on Re f z rf z , Re f z rf z , R