On Multivariate Bleimann, Butzer and Hahn Operators

Soylemez D., Ari D. A., BAŞCANBAZ TUNCA G.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.17, sa.6, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00009-020-01633-0
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Multivariate Bleimann, Butzer and Hahn operator, total modulus of continuity, monotonicity, GENERALIZED BLEIMANN, APPROXIMATION, THEOREM
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we state a Korovkin-type theorem for uniform approximation of functions, belonging to a class generated by multivariable function of modulus of continuity, by the sequence of multivariate positive linear operators. Then, using this theorem, we investigate the corresponding uniform approximation result for the multivariate Bleimann, Butzer and Hahn operators which are not in a tensor product design. Moreover, we give an elementary proof that these operators are non-increasing in n when the attached function is convex and non-increasing and we add a graphical example.