2016
DOI: 10.1186/s13660-015-0951-6
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On bases from cosines in Lebesgue spaces with variable summability index

Abstract: In this paper the perturbed system of cosines is considered. Under certain conditions on the summability index p(·) and perturbation, the basicity of this system in Lebesgue spaces L p(·) (0, π) with variable summability index p(·) is proved. The obtained results generalize similar results for the case p(·) = p = const.

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