LAUSR

Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

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0 Published in 2023 at "Axioms"

DOI: 10.3390/axioms12060539

Abstract: In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm. Moreover,… read more here.

Keywords: monotonicity; upper local; musielak orlicz; local uniform ... See more keywords

Lower Local Uniform Monotonicity in F-Normed Musielak-Orlicz Spaces

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0 Published in 2024 at "Axioms"

DOI: 10.3390/axioms13040243

Abstract: Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm. The findings outlined in this study extend the scope of… read more here.

Keywords: musielak orlicz; orlicz spaces; local uniform; monotonicity ... See more keywords

Moduli of local uniform rotundity for convex bodies in normed spaces

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0 Published in 2025 at "Canadian Mathematical Bulletin"

DOI: 10.4153/s0008439525000414

Abstract: Abstract Let C be a convex body (i.e., a proper closed convex subset with nonempty interior) in a normed space X. We consider four moduli of local uniform rotundity for C at a given point… read more here.

Keywords: rotundity convex; moduli local; local uniform; uniform rotundity ... See more keywords