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arXiv · 1812.06612

Sufficient and necessary conditions for generalized Hölder's inequality in p-summable sequence spaces

Al Azhary Masta·Siti Fatimah·Ayen Arsisari·Yudi Yunika Putra·Fitri Apriani
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Abstract

In this paper, we discuss the generalized Hölder's inequality in p-summable sequence spaces. In particular, we shall prove sufficient and necessary conditions for generalized Hölder's inequality in those spaces. One of the keys to prove our results is to estimate the norms of characteristic sequences in \mathbb{R}.

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Al Azhary Masta, Siti Fatimah, Ayen Arsisari, Yudi Yunika Putra, Fitri Apriani. 2018-12-17. Sufficient and necessary conditions for generalized Hölder's inequality in p-summable sequence spaces. https://arxiv.org/abs/1812.06612

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