On Kantorovich Process of a Sequence of the Generalized Linear Positive Operators

DOI10.1080/01630560802099365zbMath1152.41013OpenAlexW2098738272MaRDI QIDQ3514740

Ali Aral, Ogün Doğru, Nurhayat İspir

Publication date: 23 July 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802099365

zbMATH Keywords

total variationrate of convergencebounded variationweighted approximationlinear positive operatorsKantorovich-type operatorsderivatives of bounded variation

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Approximation by other special function classes (41A30)

Related Items (12)

Rate of convergence of Lupas Kantorovich operators based on Polya distribution ⋮ On the rates of convergence of BBH-Kantorovich operators and their Bézier variant ⋮ Unnamed Item ⋮ Convergence in simultaneous approximation for Srivastava-Gupta operators ⋮ Ibragimov-Gadjiev operators based on \(q\)-integers ⋮ Simultaneous approximation for generalized Srivastava-Gupta operators ⋮ On rate of approximation by modified Beta operators ⋮ Approximation for summation-integral type Beta-Szász operators ⋮ Modified Bernstein-Kantorovich operators for functions of one and two variables ⋮ Approximation with certain exponential operators ⋮ Approximation by a new sequence of operators involving Apostol-Genocchi polynomials ⋮ On the integrated Baskakov type operators

Cites Work

• Rate of convergence of Hermite-Fejér polynomials for functions with derivatives of bounded variation
• Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
• Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation
• Weighted \(L_p\)-approximation with positive linear operators on unbounded sets
• On Korovkin Type Theorem in the Space of Locally Integrable Functions

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