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On Summable Trigonometric Integrals
Mathematical Proceedings of the Cambridge Philosophical Society, 19311. The analogue for trigonometric integrals of de la Vallée Poussin's classical theorem concerning the uniqueness of the trigonometrical development has recently been obtained by M. Jacob in the following form.
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Comparison of Some Trigonometric Integrals
Mathematical Notes, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sworowski, P. A., Skvortsov, V. A.
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Generalized Trigonometric Integral Transforms
Journal of Mathematical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integral Norms of Trigonometric Polynomials
Mathematical Notes, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Estimates of trigonometric integrals
Mathematical Notes of the Academy of Sciences of the USSR, 1986The author considers the trigonometric integral \[ I=I(\alpha_ 1,...,\alpha_ n)=\int^{1}_{0}\exp (2\pi i F(x)) dx\quad, \] where \(F(x)=\sum^{n}_{j=1}\alpha_ jx^{j+\theta}\), \(0\leq \theta \leq 1\), and obtains an upper bound for I (Theorem 1) depending on the maximum of \(| \alpha_ j| 's\), with the aid of the results due to \textit{G. I. Arkhipov}, \
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Integrations involving trigonometric functions
1983So far the list of standard integrals involving trigonometric functions has been very limited, namely to $$\begin{gathered} \int {\sin \;ax\,dx} =-\frac{1}{a}\cos \,ax, \hfill \\ \int {\cos \;ax\,dx} =\frac{1}{a}\sin \,ax, \hfill \\ \int {{{{\sec }}^{2}}\;ax\,dx} =\frac{1}{a}\tan \,ax. \hfill \\ \end{gathered}$$
C. T. Moss, C. Plumpton
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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The mechanisms of integral membrane protein biogenesis
Nature Reviews Molecular Cell Biology, 2021Ramanujan Shankar Hegde, Robert J Keenan
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