Fuzzy trigonometric korovkin type approximation via power series methods of summability

YAVUZ E.

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, vol.80, no.3, pp.123-132, 2018 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 3
  • Publication Date: 2018
  • Journal Name: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.123-132
  • Keywords: Fuzzy set theory, Korovkin type approximation, power series methods of summability
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

We prove a fuzzy trigonometric Korovkin type approximation theorem via power series methods of summability and give a related approximation result for periodic fuzzy continuous functions by means of fuzzy modulus of continuity. An illustrative example concerning fuzzy Abel-Poisson convolution operator is also constructed.