Rate of pointwise convergence of a new kind of gamma operators for functions of bounded variation

DOI10.1016/J.AML.2006.12.015zbMath1176.41022OpenAlexW2067592366MaRDI QIDQ1021873

Harun Karsli, Vijay Gupta, Aydın İzgi

Publication date: 9 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.12.015

zbMATH Keywords

rate of convergenceapproximationbounded variationLebesgue pointgamma operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (12)

On the convergence of a kind of \(q\)-gamma operators ⋮ A review on approximation results for integral operators in the space of functions of bounded variation ⋮ Some approximation properties of a kind of \(q\)-gamma-Stancu operators ⋮ A new concept of multidimensional variation in the sense of Riesz and applications to integral operators ⋮ Unnamed Item ⋮ Approximation by modified q‐Gamma type operators in a polynomial weighted space ⋮ A genuine family of Bernstein-Durrmeyer type operators based on Polya basis functions ⋮ Modified gamma operators in \(L^p\) spaces ⋮ Voronovskaya type asymptotic approximation by modified gamma operators ⋮ Approximation properties of new modified gamma operators ⋮ Unnamed Item ⋮ On convergence properties of gamma-Stancu operators based on q-integers

Cites Work

• A certain family of summation-integral type operators
• On the rate of convergence of Bernstein polynomials of functions of bounded variation
• Rate of convergence of new gamma type operators for functions with derivatives of bounded variation
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• Rate of convergence for the modified Szász-Mirakyan operators on functions of bounded variation
• Rate of convergence for certain families of summation-integral type operators
• Approximationseigenschaften der Gammaoperatoren
• Approximation properties of Gamma operators
• On a generalization of Bernstein - Chlodovsky polynomials for two variables
• Convergence and rate of convergence by nonlinear singular integral operators depending on two parameters
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