On preservation of binomial operators
DOI10.1186/s13660-021-02579-xzbMath1504.41033OpenAlexW3164300188MaRDI QIDQ2072809
Xiangying Meng, Jingwen Zhang, Chungou Zhang
Publication date: 26 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-021-02579-x
delta operatorssmoothnesspreservationBernstein operatorsbinary representationbinomial operatorssemi-additivity
Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)
Cites Work
- Quantitative estimates for a new complex Durrmeyer operator in compact disks
- Lipschitz constants for some approximation operators of a Lipschitz continuous function
- Preservation properties of the Baskakov-Kantorovich operators
- The umbral calculus
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- Best constants in preservation inequalities concerning the first modulus and Lipschitz classes for Bernstein-type operators
- Shape preserving properties of some positive linear operators on unbounded intervals
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- Bernstein-type operators diminish the \(\varphi\)-variation
- On the monotonicity of positive linear operators
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- On the foundations of combinatorial theory. VIII: Finite operator calculus
- Approximation by Bernstein Polynomials
- Stochastic orders in preservation properties by Bernstein-type operators
- On certain best constants for Bernstein-type operators
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