Orlicz spaces

Musielak, Julian

doi:10.1007/bfb0072212

Cited by 43 publications

(35 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, we denote by I ϕ : M (IR n ) → [0, +∞] the corresponding modular functional associated to L ϕ (IR n ) (see e.g. [4,9,12]), where M (IR n ) denotes the space of all Lebesgue-measurable functions. We can obtain what follows.…”

Section: The Main Resultsmentioning

confidence: 99%

Multivariate sampling Kantorovich operators: from the theory to the Digital Image Processing algorithm

Costarelli

Vinti

2015

Proc Appl Math and Mech

View full text Add to dashboard Cite

show abstract

Section: The Main Resultsmentioning

confidence: 99%

Multivariate sampling Kantorovich operators: from the theory to the Digital Image Processing algorithm

Costarelli

Vinti

2015

Proc Appl Math and Mech

View full text Add to dashboard Cite

show abstract

“…These conditions play a crucial role in the theory of Orlicz spaces, see [8,31,38] and [41]. We will write ϕ ∈ 2 in two cases:…”

Section: The Cesàro-orlicz Function Spaces Cesmentioning

confidence: 99%

“…dt is a convex modular (for the theory of Orlicz spaces and modular spaces see [38,41]). The space L ϕ is a Banach ideal space with the Luxemburg-Nakano norm…”

Section: The Cesàro-orlicz Function Spaces Cesmentioning

confidence: 99%

Rotundity and monotonicity properties of selected Cesàro function spaces

Kiwerski

Kolwicz

2017

Positivity

View full text Add to dashboard Cite

We study rotundity, strict monotonicity, lower local uniform monotonicity and upper local uniform monotonicity in some classes of Cesàro function spaces. We present full criteria of these properties in the Cesà ro-Orlicz function spaces Ces ϕ (under some mild assumptions on the Orlicz function ϕ). Next, we prove a characterization of strict monotonicity, lower local uniform monotonicity and upper local uniform monotonicity in the Cesàro-Lorentz function spaces C φ . We also show that the space C φ is never rotund. Finally, we will prove that Cesàro-Marcinkiewicz function space C M ( * ) φ is neither strictly monotone nor order continuous for any quasiconcave function φ.

show abstract

“…For a given Musielak-Orlicz function f, [see [16,18] ] the Musielak-Orlicz sequence space t f is defined as follows…”

mentioning

confidence: 99%

Riesz triple probabilisitic of almost lacunary ces$\acute{A}$ro $C_{111}$ statistical convergence of $\chi^{3}$ defined by a Musielak Orlicz function

et al. 2018

View full text Add to dashboard Cite

In this paper we study the concept of almost lacunary statistical Cesàro of χ 3 over probabilistic p− metric spaces defined by Musielak Orlicz function. Since the study of convergence in PP-spaces is fundamental to probabilistic functional analysis, we feel that the concept of almost lacunary statistical Cesàro of χ 2 over probabilistic p− metric spaces defined by Musielak in a PP-space would provide a more general framework for the subject.

show abstract

Orlicz spaces

Cited by 43 publications

References 0 publications

Multivariate sampling Kantorovich operators: from the theory to the Digital Image Processing algorithm

Multivariate sampling Kantorovich operators: from the theory to the Digital Image Processing algorithm

Rotundity and monotonicity properties of selected Cesàro function spaces

Riesz triple probabilisitic of almost lacunary ces$\acute{A}$ro $C_{111}$ statistical convergence of $\chi^{3}$ defined by a Musielak Orlicz function

Contact Info

Product

Resources

About