Absolute convergence of multiple Fourier series of a function of p(n)-Λ-BV
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AbstractIn this paper, we obtain sufficiency conditions for generalized β-absolute convergence ({0<\beta\leq 2}) of single and multiple Fourier series of functions of the class {\Lambda\text{-}\mathrm{BV}(p(n)\uparrow\infty,\varphi,[-\pi,\pi])} and the class {(\Lambda^{1},\Lambda^{2},\dots,\Lambda^{N})\text{-}\mathrm{BV}(p(n)\uparrow% \infty,\varphi,[-\pi,\pi]^{N})}, respectively.
2016 ◽
Vol 11
(1)
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pp. 94-124
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2007 ◽
Vol 117
(3)
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pp. 275-292
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1982 ◽
Vol 40
(3-4)
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pp. 273-276
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1947 ◽
Vol 61
(1)
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pp. 36-36
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2013 ◽
Vol 280
(1)
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pp. 144-155