Results 141 to 150 of about 273 (178)

BEST APPROXIMATORS WITHIN A LINEAR FAMILY ON AN INTERVAL. [PDF]

open access: yesProc Natl Acad Sci U S A, 1960
Walsh JL, Motzkin TS.
europepmc   +1 more source

On the convexity coefficient of Musielak–Orlicz function spaces equipped with the Orlicz norm

Mathematische Nachrichten, 2023
AbstractIn Hudzik and Landes, the convexity coefficient of Musielak–Orlicz function spaces over a non‐atomic measure space equipped with the Luxemburg norm is computed whenever the Musielak–Orlicz functions are strictly convex see [6]. In this paper, we extend this result to the case of Musielak–Orlicz spaces equipped with the Orlicz norm.
Cui Yunan
exaly   +2 more sources

M‐constants in Orlicz–Lorentz function spaces

Mathematische Nachrichten, 2019
AbstractIn this paper some lower and upper estimates of M‐constants for Orlicz–Lorentz function spaces for both, the Luxemburg and the Amemiya norms, are given. Since degenerated Orlicz functions φ and degenerated weighted sequences ω are also admitted, this investigations concern the most possible wide class of Orlicz–Lorentz function spaces.
Henryk Hudzik, Paweł Foralewski
exaly   +2 more sources

Orlicz Spaces and Rearranged Maximal Functions

Mathematische Nachrichten, 1987
Given a Young function \(\Phi\) on [0,\(\infty)\), the authors define the \(\Phi\)-mean of the decreasing rearrangement \(f^*\) of some measurable function f by \[ f_{\Phi}^{**}(t)=\inf \{\lambda:\lambda >0,\int^{t}_{0}\Phi (f^*(s)/\lambda)ds\leq t\}; \] if \(\Phi\) is the identity, one gets the usual average rearrangement \(f^{**}\) of f [see e.g ...
Bagby, Richard J., Parsons, John D.
openaire   +1 more source

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