Some new modified cosine sums and $L^{1}$-convergence of cosine trigonometric series

Xhevat Z. Krasniqi

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On $L^{1}$ -convergence of certain cosine sums with third semi-convex coefficients.

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A note on $L^{1}$ -convergence of the sine and cosine trigonometric series with semi-convex coefficients.

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Convergence of generalized conjugate partial sums of Fourier series.

Per Sjölin (2004)

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Generalized conjugate partial sums of Fourier series are used to find jumps of functions. The rate of convergence is studied and sharp results are obtained.

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We consider the Dirac-type operators D + a, a is a paravector in the Clifford algebra. For this operator we state a Cauchy-Green formula in the spaces $C^{1} (G)$ and $W_{p}^{1} (G)$ . Further, we consider the Cauchy problem for this operator.

Displaying similar documents to “Some new modified cosine sums and L 1 -convergence of cosine trigonometric series”

Displaying similar documents to “Some new modified cosine sums and $L^{1}$ -convergence of cosine trigonometric series”