Extension of the best approximation operator in Orlicz spaces and weak-type inequalities.

Favier, Sergio; Zò, Felipe

Displaying similar documents to “Extension of the best approximation operator in Orlicz spaces and weak-type inequalities.”

Best simultaneous approximation in Orlicz spaces.

Khandaqji, M., Al-Sharif, Sh. (2007)

International Journal of Mathematics and Mathematical Sciences

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Metric projections and best approximants in Bochner-Orlicz spaces.

Ryszard Pluciennik, Yuwen Wang (1994)

Revista Matemática de la Universidad Complutense de Madrid

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In the first section of this paper there are given criteria for strict convexity and smoothness of the Bochner-Orlicz space with the Orlicz norm as well as the Luxemburg norm. In the second one that geometrical properties are applied to the characterization of metric projections and zero mean valued best approximants to Bochner-Orlicz spaces.

Best approximation in Orlicz spaces.

Al-Minawi, H., Ayesh, S. (1991)

International Journal of Mathematics and Mathematical Sciences

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Approximation by trigonometric polynomials in weighted Orlicz spaces

Daniyal M. Israfilov, Ali Guven (2006)

Studia Mathematica

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We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.

A Landau-Kolmogorov inequality for Orlicz spaces.

Ha Huy Bang, Mai Thi Thu (2002)

Journal of Inequalities and Applications [electronic only]

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Prediction in Orlicz Spaces.

R.B. Darst, D.A. Legg, D.W. Townsend (1981)

Manuscripta mathematica

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On $P$ -convex Musielak-Orlicz spaces

Paweł Kolwicz, Ryszard Płuciennik (1995)

Commentationes Mathematicae Universitatis Carolinae

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In this paper there is proved that every Musielak-Orlicz space is reflexive iff it is $P$ -convex. This is an essential extension of the results given by Ye Yining, He Miaohong and Ryszard Płuciennik [16].

Strictly and uniformly monotone sequential Musielak-Orlicz spaces.

W. Kurc (1999)

Collectanea Mathematica

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Topological dual of non-locally convex Orlicz-Bochner spaces

Marian Nowak (1999)

Commentationes Mathematicae Universitatis Carolinae

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Let $L^{ϕ} (X)$ be an Orlicz-Bochner space defined by an Orlicz function $ϕ$ taking only finite values (not necessarily convex) over a $σ$ -finite atomless measure space. It is proved that the topological dual $L^{ϕ} {(X)}^{*}$ of $L^{ϕ} (X)$ can be represented in the form: $L^{ϕ} {(X)}^{*} = L^{ϕ} {(X)}_{n}^{\sim} \oplus L^{ϕ} {(X)}_{s}^{\sim}$ , where $L^{ϕ} {(X)}_{n}^{\sim}$ and $L^{ϕ} {(X)}_{s}^{\sim}$ denote the order continuous dual and the singular dual of $L^{ϕ} (X)$ respectively. The spaces $L^{ϕ} {(X)}^{*}$ , $L^{ϕ} {(X)}_{n}^{\sim}$ and $L^{ϕ} {(X)}_{s}^{\sim}$ are examined by means of the H. Nakano’s theory of conjugate modulars. (Studia Mathematica 31 (1968), 439–449). The well known results of the...