Some Results on Post-Widder Operators Preserving Test Function x^r

DOI10.46793/KGJMAT2201.149GzbMath1499.41065OpenAlexW4210343609MaRDI QIDQ5035895

Vijay Gupta, Gancho T. Tachev

Publication date: 22 February 2022

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/69/12_eng.html

zbMATH Keywords

momentsexponential functionslinear combinationsPost-Widder operatorspolynomially bounded functions

Mathematics Subject Classification ID

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

Related Items (3)

The rate of convergence of a generalization of Post-Widder operators and Rathore operators ⋮ Convergence estimates of certain gamma type operators ⋮ Unnamed Item

Cites Work

• The new forms of Voronovskaya's theorem in weighted spaces
• General form of Voronovskaja's theorem in terms of weighted modulus of continuity
• Quantitative Voronovskaya-type results for polynomially bounded functions
• A characterization of weighted approximations by the Post-Widder and the gamma operators. II
• A characterization of weighted approximations by the Post-Widder and the Gamma operators
• On convergence of derivatives of Post-Widder operators
• The characterization of the derivatives for linear combinations of Post-Widder operators in \(L_p\)
• Direct estimate for positive linear operators in polynomial weighted spaces
• Approximation with positive linear operators and linear combinations
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• On Approximation by Post-Widder and Stancu Operators Preserving x²
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