On the convergence of Bernstein-Kantorovich-Stancu shifted knots operators involving Schurer parameter

DOI10.1007/s11785-023-01423-yMaRDI QIDQ6186077

Md. Nasiruzzaman, Abdullah M. Alotaibi, Syed Abdul Mohiuddine

Publication date: 9 January 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

modulus of continuityKorovkin's theoremVoronovskaja-type theoremBernstein-Stancu type polynomialsPeetre's \(K\)-functionalBernstein-Schurer polynimials

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantitative \(q\)-Voronovskaya and \(q\)-Grüss-Voronovskaya-type results for \(q\)-Szász operators
• Approximation properties of \(\lambda\)-Bernstein operators
• Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables
• Asymptotic formulas for generalized Szász-Mirakyan operators
• Approximation of functions by a new class of generalized Bernstein-Schurer operators
• Approximation on parametric extension of Baskakov-Durrmeyer operators on weighted spaces
• Approximation properties and error estimation of q-Bernstein shifted operators
• Approximation of functions by Stancu variant of Bernstein-Kantorovich operators based on shape parameter \(\alpha\)
• Construction of Stancu-type Bernstein operators based on Bézier bases with shape parameter \(\lambda\)
• \(L^p\) approximation strategy by positive linear operators
• Weighted \(L_p\)-approximation with positive linear operators on unbounded sets
• Approximation by Means of Kantorovich-Stancu Type Operators
• Construction of a new family of Bernstein-Kantorovich operators
• Approximation Properties For Modifiedq-Bernstein-Kantorovich Operators
• On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
• A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators
• Blending‐type approximation by Lupaş–Durrmeyer‐type operators involving Pólya distribution
• Quantitative Voronovskaya-Type Theorems for Fejér-Korovkin Operators
• Weighted approximation by new Bernstein-Chlodowsky-Gadjiev operators
• Local approximation properties for certain King type operators
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• Weighted statistical approximation properties of univariate and bivariate λ-Kantorovich operators

This page was built for publication: On the convergence of Bernstein-Kantorovich-Stancu shifted knots operators involving Schurer parameter