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www.jstor.org/stable/2320583
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series. Second, it is intimately involved with the basic problem of termwise integration of a sequence of integrable functions; it provides a concrete situation ...
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zh-tw.w3dictionary.org/index.php?q=termwise
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英語語言詞典[termwise] # 翻譯[termwise] ... termwise. ['tә:mwaiz] adv. &. adj.[數]逐 項地(的). zh-tw • #1683006 • laz5ec-dictionary ... termwise integrable series ...
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www.ams.org/journals/tran/1907-008-01/S0002-9947-1907-1...
www.ams.org/journals/tran/1907-008-01/S0002-9947-1907-1500776-3/S0002-9947-1907-1500776-3.pdf
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condition f this series is integrable termwise in the interval. 0 = X = 7r/2 if it is " in general uniformly convergent by segments " and is deter- minate for every value ...
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www.math.umn.edu/~olver/am_/fs.pdf
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Therefore, the termwise differentiation of a Fourier series is a nontrivial issue. ..... If f(x) is odd and integrable on the symmetric interval [−a, a], then. ∫ a. −af(x)dx ...
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people.reed.edu/~jerry/311/pseries.pdf
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TERMWISE DERIVATIVES OF POWER SERIES. We have passed a z-derivative through a ζ-integral to establish Cauchy's in- tegral representation formula for ...
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www.math.ku.dk/~gimperlein/pdl10/pdl06.pdf
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(It is sufficient for this that f2 is integrable on [−L, L], but the book is not very .... and its termwise differentiated series converge uniformly, then the sum of the ...
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www.springerlink.com/index/n3111t686765568k.pdf
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Note that the series on the right-hand side of (A.1) is termwise integrable over any finite range and hence computations can be carried out be using these. oF2(- - ...
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notebk.googlecode.com/files/fourier.v2.pdf
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4.2 Termwise Integration of Fourier Series . ..... Definition 5. Let f : R → R be 2π- periodic and integrable on [−π, π]. The Fourier. Series f is f(θ) = ∞. ∑ n=−∞ ...
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www.math.nus.edu.sg/~matngtb/Calculus/MA3110/Chapter%20...
www.math.nus.edu.sg/~matngtb/Calculus/MA3110/Chapter%209%20Uniform%20Convergence%20and%20Integration.pdf
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be Riemann integrable since the uniform limit of a sequence of bounded function is bounded. ..... this series function termwise on [0, ∞). Proof. The series ...
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www.springerlink.com/index/P7H230252465W251.pdf
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see that (3.6) is a termwise integrable series. ;i r+ (t ,g,)f'(t-~s b "+' (K (/- e,)),*% ( ")f '(t-~,+)dt. (3.7). Using the same idea we can see (3.7) is termwise differentiable ...
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