Journal of Function Spaces

Operator Methods in Approximation Theory


Publishing date
01 Jul 2019
Status
Published
Submission deadline
01 Mar 2019

Lead Editor

1University of Basilicata, Potenza, Italy

2Selcuk University, Selcuklu, Konya, Turkey

3University of Bari, Bari, Italy

4University of Jaén, Jaén, Spain


Operator Methods in Approximation Theory

Description

Approximation processes arise in a very natural way in many problems dealing with the constructive approximation of functions as well as solutions to (partial) differential equations and integral equations. The study of such subject falls into an intensive research area, developing in different directions by many mathematicians. Several investigations have been devoted to the approximation properties of new sequences of operators, which might generalize or modify well-known ones, in order to get better results. Issues related to these studies are, for instance, shape preserving properties of the approximating operators, estimates of the rate of convergence, asymptotic formulae, saturation problems, approximation of semigroups of operators, asymptotic behavior, direct, and converse results. Several approximation processes have been successfully applied for example in Computer Aided Geometric Design, in the theory of artificial neural networks, and in evolution problems arising in population genetics, financial mathematics, and other fields.

The goal of this special issue is to attract original research as well as review articles that highlight recent advances in operator methods in approximation theory and related applications.

Potential topics include but are not limited to the following:

  • Approximation by positive operators
  • Approximation by linear/nonlinear operators
  • Approximation by integral operators
  • Rate of convergence and moduli of smoothness
  • Simultaneous approximation
  • Approximation problems for semigroups of operators and evolution equations
  • Multidimensional problems
  • Abstract approximation theory
  • Quantum Calculus in Approximation Theory

Articles

  • Special Issue
  • - Volume 2019
  • - Article ID 3426301
  • - Editorial

Operator Methods in Approximation Theory

Vita Leonessa | Tuncer Acar | ... | Pedro Garrancho
  • Special Issue
  • - Volume 2019
  • - Article ID 2716107
  • - Research Article

On a New Stability Problem of Radical th-Degree Functional Equation by Brzdęk’s Fixed-Point Method

Dongseung Kang | Hoewoon B. Kim
  • Special Issue
  • - Volume 2019
  • - Article ID 5923490
  • - Research Article

The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems

Jinxiu Mao | Zengqin Zhao | Chenguang Wang
  • Special Issue
  • - Volume 2019
  • - Article ID 2041079
  • - Research Article

-Basic Construction from the Conditional Expectation on the Drinfeld Double

Qiaoling Xin | Lining Jiang | Tianqing Cao
  • Special Issue
  • - Volume 2019
  • - Article ID 2329060
  • - Review Article

On Sequences of J. P. King-Type Operators

Tuncer Acar | Mirella Cappelletti Montano | ... | Vita Leonessa
  • Special Issue
  • - Volume 2019
  • - Article ID 6436382
  • - Research Article

Asymptotic Behavior of Almost Quartic ⁎-Derivations on Banach ⁎-Algebras

Hark-Mahn Kim | Hwan-Yong Shin | Jinseok Park
  • Special Issue
  • - Volume 2019
  • - Article ID 7265010
  • - Research Article

Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces

Awad A. Bakery | Mustafa M. Mohammed
  • Special Issue
  • - Volume 2019
  • - Article ID 9487823
  • - Research Article

Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity

Syed Zaheer Ullah | Muhammad Adil Khan | ... | Yu-Ming Chu
  • Special Issue
  • - Volume 2019
  • - Article ID 3829620
  • - Research Article

New Generating Function Relations for the Generalized Cesàro Polynomials

Nejla Özmen
  • Special Issue
  • - Volume 2019
  • - Article ID 7587401
  • - Research Article

Bivariate Chlodowsky-Stancu Variant of (p,q)-Bernstein-Schurer Operators

Tuba Vedi-Dilek | Eser Gemikonakli
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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