Basic trigonometric korovkin approximation for fuzzy valued functions of two variables

Yavuz E.

Comptes Rendus de L'Academie Bulgare des Sciences, cilt.74, sa.9, ss.1276-1288, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7546/crabs.2021.09.02
  • Dergi Adı: Comptes Rendus de L'Academie Bulgare des Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
  • Sayfa Sayıları: ss.1276-1288
  • Anahtar Kelimeler: fuzzy set theory, Korovkin approximation theorems, summability methods
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

We prove the basic trigonometric Korovkin approximation theorem for fuzzy valued functions of two variables and verify the approximation by the help of fuzzy modulus of continuity. Also, we introduce double level Fourier series of fuzzy valued functions and investigate corresponding approximation through the use of Cesàro and Abel methods of summation of infinite series.