Results 251 to 260 of about 7,254,043 (273)

Exponential-Type or Bernstein-Type Operators

1987
Relations between the rate of convergence of several well-known and much studied approximation operators and the modulus presented in this book will be studied. Earlier partial results on the subject were important for motivating the investigation of ω ϕ r (f,t) p . Results given in detail in this chapter are new.
Z. Ditzian, V. Totik
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Applications of the Shorgin Identity to Bernstein Type Operators

Results in Mathematics, 2018
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Ron Goldman, Xiao-Wei Xu, Xiao-Ming Zeng
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Bernstein-Type Operators Diminish the $\phi$-Variation

Constructive Approximation, 1996
We show that a large class of Bernstein-type operators usually considered in approximation theory diminish the total and the fine φ-variation, thus extending a classical result on 1-variation diminution concerning the Bernstein polynomials. Also, the closely related problem of approximation in φ-variation is thoroughly discussed. For these purposes, we
J. A. Adell, J. de la Cal
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A note on Bernstein type operators

Approximation Theory and its Applications, 1992
For Bernstein operators \(B_ n\) one has the direct theorem \[ \| B_ n f-f\|_ \infty\leq C\left\{ w^ 2_ \varphi\left(f,{1\over\sqrt n}\right)_ \infty +{1\over n} \| f\|_ \infty\right\},\quad n\in\mathbb{N}, \] where \(C\) is independent of \(n\) and \(w^ 2_ \varphi(f,\cdot)_ \infty\) denotes the second order Ditzian-Totik modulus of smoothness with ...
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Generalized Bernstein‐Kantorovich–type operators on a triangle

Mathematical Methods in the Applied Sciences, 2019
In this note, we construct generalized Bernstein‐Kantorovich–type operators on a triangle. The concern of this note is to present a Voronovskaja‐type and Grüss Voronovskaja‐type asymptotic theorems, and some estimates of the rate of approximation with the help of K‐functional, first and second order modulus of continuity.
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Approximation Properties by Bernstein–Durrmeyer Type Operators

Complex Analysis and Operator Theory, 2011
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Lower Estimates for Centered Bernstein-Type Operators

Constructive Approximation, 2001
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Voronovskaya type results for Bernstein-Chlodovsky operators preserving e−2

Journal of Mathematical Analysis and Applications, 2020
Vita Leonessa, Garrancho Pedro, Tuncer Acar   +2 more
exaly  

Some approximation results by (p, q)-analogue of Bernstein–Stancu operators

Applied Mathematics and Computation, 2015
Asif Khan, M Mursaleen, Khursheed J Ansari   +2 more
exaly  

Construction of a new family of Bernstein‐Kantorovich operators

Mathematical Methods in the Applied Sciences, 2017
Abdullah Alotaibi, S A Mohiuddine, Tuncer Acar   +2 more
exaly