APPROXIMATION BY PSEUDO-LINEAR DISCRETE OPERATORS

ASLAN İ., Gokcer T. Y.

MATHEMATICAL FOUNDATIONS OF COMPUTING, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.3934/mfc.2021037
  • Journal Name: MATHEMATICAL FOUNDATIONS OF COMPUTING
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Keywords: Discrete operators, pseudo-linear operators, uniform g-distance, rate of approximation, g-modulus of continuity, MAX-PRODUCT, SAMPLING-TYPE, FUZZY-SETS, MIN, CONVERGENCE, OPERATIONS
  • Hacettepe University Affiliated: Yes

Abstract

In this note, we construct a pseudo-linear kind discrete operator based on the continuous and nondecreasing generator function. Then, we obtain an approximation to uniformly continuous functions through this new operator. Furthermore, we calculate the error estimation of this approach with a modulus of continuity based on a generator function. The obtained results are supported by visualizing with an explicit example. Finally, we investigate the relation between discrete operators and generalized sampling series.