Details

Autor(en) / Beteiligte

• Qasim, Mohd
• Khan, Asif
• Abbas, Zaheer
• Özger, Faruk
• Raina, Princess

Titel

Approximation by generalized Baskakov-beta operators and its convergence properties

Ist Teil von

• The Journal of Analysis, 2023-06, Vol.31 (2), p.1539-1555

Ort / Verlag

Singapore: Springer Nature Singapore

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The main intent of this paper is to innovate summation-integral type generalized Baskakov operators with weights of Beta basis functions whose construction depends on φ such that φ ( 0 ) = 0 and inf ϰ ∈ [ 0 , ∞ ) φ ′ ( ϰ ) ≥ 1 . For these operators we compute rate of convergence by weighted modulus of continuity, pointwise convergence by proving Voronovskaya type theorem. Finally, we figure out quantitative estimates for the local approximation and provide some computer graphics.