Results 21 to 30 of about 165,936,345 (87)
Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution
Mathematics, 2022 We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger distribution and Bézier basis functions, and study some of their basic approximation properties. In addition, by means of the Ditzian–Totik modulus of smoothness, we
Syed Abdul Mohiuddine +2 more
doaj +1 more source
On the Approximation Properties of q−Analogue Bivariate λ‐Bernstein Type Operators
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this article, we establish an extension of the bivariate generalization of the q‐Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q‐Bernstein type. For the first operators, we state the Volkov‐type theorem and we obtain a Voronovskaja type and investigate the degree of approximation
Edmond Aliaga +2 more
wiley +1 more source
Modified Bernstein–Durrmeyer Type Operators
Mathematics, 2022 We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj +1 more source
Weighted Simultaneous Approximation of the Linear Combinations of Baskakov Operators
Complexity, Volume 2020, Issue 1, 2020., 2020 In this paper, the approximation property of the linear combinations of Baskakov operators is investigated by using a Jacobi weight function. Moreover, both the positive and inverse theorems for the weighted simultaneous approximation of the linear combinations of Baskakov operators are proved.
Xiao-jun Tang +3 more
wiley +1 more source
On the order of approximation by modified summation-integral-type operators based on two parameters
Demonstratio Mathematica, 2023 In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
doaj +1 more source
A Note on Two Moduli of Smoothness [PDF]
, 1995 We prove that for f ∈ Lp[−1, 1], 0 < p < 1 the modulus of smoothness τk(f, Δn)p,p introduced by Ivanov and Ditzian-Totik modulus of smoothness ωkφ(f, n−1)p are ...
Tachev, G.T.
core +1 more source
On equivalence of moduli of smoothness of polynomials in Lp, 0
, 2005 It is well known that ωr(f,t)p⩽tωr-1(f′,t)p⩽t2ωr-2(f″,t)p⩽⋯ for functions f∈Wpr, 1⩽p⩽∞.
Hu, Yingkang, Liu, Yongping
core +1 more source
Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators
Journal of Inequalities and Applications, 2016 This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang +4 more
doaj +1 more source
On the sharpness of a Jackson estimate by Ditzian-Totik [PDF]
, 1996 Using ideas of Grünwald, Marcinkiewicz, and Vértesi concerning the divergence of interpolation processes, a counterexample is constructed which establishes that a Jackson estimate for the best approximation by algebraic polynomials given by Ditzian and ...
Imhof, L., Imhof, Lorens
core +1 more source
Pointwise Approximation for Linear Combinations of Bernstein Operators [PDF]
, 2000 For linear combinations of Bernstein operators Bn, r(f, x), we give an equivalent theorem with ω2rφλ(f, t), where ω2rφλ(f, t) is the Ditzian–Totik modulus of smoothness (1−1/r⩽λ⩽1). It is the generalization of corresponding results by Z.
Guo, Shunsheng +3 more
core +1 more source