Journal of Function Spaces

Function Spaces, Approximation Theory, and Their Applications


Publishing date
07 Oct 2016
Status
Published
Submission deadline
20 May 2016

Lead Editor

1University of Perugia, Perugia, Italy

2Technical University of Cluj-Napoca, Cluj-Napoca, Romania

3RWTH Aachen, Aachen, Germany


Function Spaces, Approximation Theory, and Their Applications

Description

The purpose of this special issue is to present new developments in the theory of function spaces and their deep interconnections with approximation theory. In the last decades, several studies were carried out in this direction, with the aim to give applications in various fields of applied sciences, in particular, to signal analysis and image reconstruction. Also, the theory of integral transforms represents a powerful tool in describing basic function spaces, as Bernstein spaces, Paley-Wiener spaces, and their strict links with the theory of the sampling series. On the other hand, in recent years the problem of recovering discontinuous signals in function spaces, as the Lp spaces, Orlicz spaces, BV spaces and, more generally, modular function spaces, has received an increasing interest in image processing, employing approximation processes which use families of linear or nonlinear integral or discrete operators. These aspects give important motivations for theoretical studies of function spaces and approximation theory, with the aim to obtain new mathematical tools for real-life applications. Thus the main purpose of this special issue is to develop the fundamental links between function spaces, integral transforms, and approximation theory and to point out their various applications, by collecting papers containing both theoretical and applied results, as well as innovative mathematical models. The editors of this special issue invite research articles as well as review articles.

Potential topics include, but are not limited to:

  • Approximation by linear and nonlinear operators
  • Fourier, wavelet, and harmonic analysis methods in function spaces (Bernstein spaces, Paley-Wiener spaces, Sobolev spaces, Hardy spaces, Besov spaces, etc.)
  • Univariate and multivariate sampling theory
  • Applications to signal processing and image reconstructions, measure theory and spaces of measurable functions, and abstract integration processes in connections with function spaces

Articles

  • Special Issue
  • - Volume 2016
  • - Article ID 7423041
  • - Editorial

Function Spaces, Approximation Theory, and Their Applications

Carlo Bardaro | Ioan Rasa | ... | Gianluca Vinti
  • Special Issue
  • - Volume 2016
  • - Article ID 3843921
  • - Review Article

A Review on Approximation Results for Integral Operators in the Space of Functions of Bounded Variation

Laura Angeloni | Gianluca Vinti
  • Special Issue
  • - Volume 2016
  • - Article ID 4372471
  • - Research Article

Mappings of Type Special Space of Sequences

Awad A. Bakery
  • Special Issue
  • - Volume 2016
  • - Article ID 2534597
  • - Research Article

On the Stability of Alternative Additive Equations in Multi--Normed Spaces

Xiuzhong Yang | Jing Ma | Guofen Liu
  • Special Issue
  • - Volume 2016
  • - Article ID 5916132
  • - Research Article

SPDIEs and BSDEs Driven by Lévy Processes and Countable Brownian Motions

Pengju Duan
  • Special Issue
  • - Volume 2016
  • - Article ID 3698463
  • - Research Article

Optimal Bounds for Gaussian Arithmetic-Geometric Mean with Applications to Complete Elliptic Integral

Hua Wang | Wei-Mao Qian | Yu-Ming Chu
  • Special Issue
  • - Volume 2016
  • - Article ID 4237423
  • - Research Article

Abstract Theorems on Exchange of Limits and Preservation of (Semi)continuity of Functions and Measures in the Filter Convergence Setting

Antonio Boccuto | Xenofon Dimitriou
  • Special Issue
  • - Volume 2016
  • - Article ID 1481793
  • - Research Article

Dual -Mixed Geominimal Surface Area and Related Inequalities

Tongyi Ma | Yibin Feng
  • Special Issue
  • - Volume 2016
  • - Article ID 7594031
  • - Research Article

Classes of -Convergent Double Sequences over -Normed Spaces

Nazneen Khan
  • Special Issue
  • - Volume 2016
  • - Article ID 9161252
  • - Research Article

A Generalization of Uniformly Extremely Convex Banach Spaces

Suyalatu Wulede | Wurichaihu Bai | Wurina Bao
Journal of Function Spaces
 Journal metrics
Acceptance rate28%
Submission to final decision43 days
Acceptance to publication37 days
CiteScore2.000
Impact Factor1.896
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