On the modification of the Szaśz–Durrmeyer operators
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Ali Aral
Abstract
In this paper we consider the modification of Szász–Durrmeyer operators based on the Jain basis function. Voronovskaya-type estimates of point-wise convergence along with its quantitative version based on the weighted modulus of smoothness are given. Moreover, a direct approximation theorem for the operators is proved.
Acknowledgements
The authors are thankful to the referee for valuable comments leading to overall improvements in the paper.
References
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© 2016 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Non-trivial solutions for nonlocal elliptic problems of Kirchhoff-type
- Existence of renormalized solutions for strongly nonlinear parabolic problems with measure data
- On the modification of the Szaśz–Durrmeyer operators
- A spectral representation of the linear multivelocity transport problem
- A Tauberian theorem for the product of Abel and Cesàro summability methods
- The spaces of bilinear multipliers of weighted Lorentz type modulation spaces
- Summations of Schlömilch series containing Struve function terms
- On nondifferentiable minimax semi-infinite programming problems in complex spaces
- Modified relativistic Laguerre polynomials. Monomiality and Lie algebraic methods
- On the difference between a Vitali–Bernstein selector and a partial Vitali–Bernstein selector
- The Hardy--Littlewood maximal operator and BLO1/log class of exponents
- Bicritical domination and double coalescence of graphs
- The asymptotic behavior of a counting process in the max-scheme. A discrete case
- Functions of bounded fractional differential variation – A new concept
- Sensitivity analysis of the optimal exercise boundary of the American put option
- Estimates for the asymptotic convergence of a non-isothermal linear elasticity with friction
- A coupled system of nonlinear differential equations involving m nonlinear terms
Artikel in diesem Heft
- Frontmatter
- Non-trivial solutions for nonlocal elliptic problems of Kirchhoff-type
- Existence of renormalized solutions for strongly nonlinear parabolic problems with measure data
- On the modification of the Szaśz–Durrmeyer operators
- A spectral representation of the linear multivelocity transport problem
- A Tauberian theorem for the product of Abel and Cesàro summability methods
- The spaces of bilinear multipliers of weighted Lorentz type modulation spaces
- Summations of Schlömilch series containing Struve function terms
- On nondifferentiable minimax semi-infinite programming problems in complex spaces
- Modified relativistic Laguerre polynomials. Monomiality and Lie algebraic methods
- On the difference between a Vitali–Bernstein selector and a partial Vitali–Bernstein selector
- The Hardy--Littlewood maximal operator and BLO1/log class of exponents
- Bicritical domination and double coalescence of graphs
- The asymptotic behavior of a counting process in the max-scheme. A discrete case
- Functions of bounded fractional differential variation – A new concept
- Sensitivity analysis of the optimal exercise boundary of the American put option
- Estimates for the asymptotic convergence of a non-isothermal linear elasticity with friction
- A coupled system of nonlinear differential equations involving m nonlinear terms
