Bézier type Kantorovich \(q\)-Baskakov operators via wavelets and some approximation properties

DOI10.1007/s41980-023-00815-2zbMath1530.41020MaRDI QIDQ6071327

Ekrem Savaş, Mohammad Mursaleen

Publication date: 23 November 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

waveletsapproximationbounded variation\(q\)-integerBaskakov operatorsBézier basisChanturiya's modulus of variationKantorovich Baskakov operators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
• Rate of convergence of Baskakov-Bézier type operators for locally bounded functions.
• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions. II
• A note on the convergence of Phillips operators by the sequence of functions via \(q\)-calculus
• Statistical approximation properties of \(q\)-Baskakov-Kantorovich operators
• Ten Lectures on Wavelets
• AN ESTIMATE OF THE RATE OF CONVERGENCE OF A BÉZIER VARIANT OF THE BASKAKOV-KANTOROVICH OPERATORS FOR BOUNDED VARIATION FUNCTIONS
• Quantum calculus
• On wavelet type generalized Bézier operators
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