Bézier Type Kantorovich q-Baskakov Operators via Wavelets and Some Approximation Properties

SAVAŞ E., Mursaleen M.

Bulletin of the Iranian Mathematical Society, cilt.49, sa.5, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s41980-023-00815-2
  • Dergi Adı: Bulletin of the Iranian Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Approximation, Baskakov operators, Bounded variation, Bézier basis, Chanturiya’s modulus of variation, Kantorovich Baskakov operators, q-integer, Wavelets
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we construct the Bézier variant of the operators constructed by Nasiruzzaman et al. (Iran J Sci Technol Trans A Sci 46(5):1495–1503, 2022). We use the notion of wavelets to construct Bézier type Kantorovich q-Baskakov wavelet operators. We calculate the moments and central moments and prove some approximation results for our new operators.