Results 161 to 170 of about 221 (175)
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Characteristic of monotonicity of Orlicz function spaces equipped with the Orlicz norm
2013In this paper, the authors consider the characteristic of monotonicity of Orlicz function spaces equipped with Orlicz norm, and give lower and upper estimates for this characteristic. They apply a variety of techniques concerning Orlicz function spaces. Monotonicity has relationships to complex rotundities and their applications.
Foralewski, P. +3 more
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On a pair of geometric parameters of Orlicz norm
Summary: For the geometric parameters \(Q_\Phi\) and \(q_\Phi\) of the Orlicz norm, we prove that \[ {b^*_\Phi \over b^*_\Phi-1}\leq q_\Phi\leq Q_\Phi \leq {a^*_\Phi\over a^*_\Phi-1}, \] where \[ a^*_\Phi= \inf\left\{{t \varphi(t) \over \Phi(t ...openaire +2 more sources
Smoothness of Orlicz function spaces equipped with the p-Amemiya norm
Banach Journal of Mathematical Analysis, 2021Cui Yunan
exaly
Smoothness of the Orlicz norm in Musielak–Orlicz function spaces
Mathematische Nachrichten, 2014Charles C Cavalcante
exaly
Uniform rotundity of Orlicz function spaces equipped with the ‐Amemiya norm
Mathematische Nachrichten, 2018Radosław Kaczmarek
exaly
Uniform rotundity in every direction of Orlicz function spaces equipped with the p-Amemiya norm
Collectanea Mathematica, 2018Radosław Kaczmarek +1 more
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I ‐convexity and Q ‐convexity in Orlicz–Bochner function spaces endowed with the Orlicz norm
Mathematische Nachrichten, 2019Wanzhong Gong
exaly
On Some Convexity Properties of Orlicz Sequence Spaces Equipped with the Luxemburg Norm
Mathematische Nachrichten, 1997Henryk Hudzik, Diethard Pallaschke
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