Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant

Yildiz Ozkan E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2022, sa.1, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2022 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1186/s13660-022-02798-w
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: q-Beta function, q-Improper integral, Approximation of operators, Rate of convergence, Bogel continuity, Bogel differentiability
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we investigate some inequalities estimating the error of approximation for new defined tensor product kind quantum beta-type operators on rectangular regions, and we give an inequality in weighted mean. Moreover, we introduce generalized Boolean sum (GBS) operators pertaining to tensor product kind bivariate quantum beta-type operators, and we also give inequalities estimating the error of approximation for GBS variant concerning the mixed modulus of continuity for Bogel continuous and Bogel differentiable functions, respectively. Finally, we present some applications illustrating numerical results of approximation errors with the help of Maple software.