Results 21 to 30 of about 1,126,452 (304)
Complexity of Weighted Approximation over Rd
AbstractWe study approximation of multivariate functions defined over Rd. We assume that all rth order partial derivatives of the functions considered are continuous and uniformly bounded. Approximation algorithms U(f) only use the values of f or its partial derivatives up to order r.
Grzegorz W. Wasilkowski +1 more
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On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties
In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.
M Mursaleen +2 more
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On Weighted Polynomial Approximation With Gaps [PDF]
Let α be a nonnegative continuous function on ℝ. In this paper, the author obtains a necessary and sufficient condition for polynomials with gaps to be dense in Cα, where Cα is the weighted Banach space of complex continuous functions ƒ on ℝ with ƒ(t) exp(−α(t)) vanishing at infinity.
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Weighted averaging and stochastic approximation [PDF]
The authors investigate the relations between weighted averaging and stochastic approximation (SA) algorithms. First, they define the weighted averaging operator and introduce two properties of the operator: regularity and effectiveness. They establish necessary and sufficient conditions on a sequence for convergence of its average.
I-Jeng Wang +2 more
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Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)
In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted
Mohammed Hamad Fayyadh, Alaa Adnan Auad
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Certain Generalized q-Operators
The applications of q-calculus in the approximation theory is a very interesting area of research in the recent years, several new q-operators were introduced and their behaviour were discussed by many researchers.
Prakash Om +2 more
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Weight Approximation for Spatial Outcomes [PDF]
When preferences explicitly include a spatial component, it can be challenging to assign weights to geographic regions in a way that is both pragmatic and accurate. In multi-attribute decision making, weights reflect cardinal information about preferences that can be difficult to assess thoroughly in practice.
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Weighted Sobolev spaces on curves [PDF]
45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.MR#: MR1934626 (2003j:46038)Zbl#: Zbl 1019.46026In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non ...
Pestana, Domingo +3 more
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Approximation theory for weighted Sobolev spaces on curves [PDF]
17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana Galván, Domingo +6 more
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Construction of a New Family of Baskakov Operators Based on Negative λ-Binomial Distribution
We propose the λ-Baskakov operator based on λ-binomial distribution, which is a new Baskakov-type operator. First, the moments and the central moments for them and their quantitative properties are computed.
Wen-Tao Cheng +3 more
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