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

SAVAŞ E., Mursaleen M.

Bulletin of the Iranian Mathematical Society, vol.49, no.5, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 5
  • Publication Date: 2023
  • Doi Number: 10.1007/s41980-023-00815-2
  • Journal Name: Bulletin of the Iranian Mathematical Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Keywords: Approximation, Baskakov operators, Bounded variation, Bézier basis, Chanturiya’s modulus of variation, Kantorovich Baskakov operators, q-integer, Wavelets
  • Uşak University Affiliated: Yes

Abstract

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.