APPROXIMATION BY PSEUDO-LINEAR DISCRETE OPERATORS


ASLAN İ., Gokcer T. Y.

MATHEMATICAL FOUNDATIONS OF COMPUTING, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3934/mfc.2021037
  • Dergi Adı: MATHEMATICAL FOUNDATIONS OF COMPUTING
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.