Results 11 to 20 of about 175,681 (256)
Degree of Approximation by Hybrid Operators [PDF]
Abstract and Applied Analysis, 2013 We consider hybrid (Szász-beta) operators, which are a general sequence of integral type operators including beta function, and we give the degree of approximation by these Szász-beta-Durrmeyer operators.
Naokant Deo, Hee Sun Jung, Ryozi Sakai
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Low-Degree Approximation of Random Polynomials [PDF]
Foundations of Computational Mathematics, 2021 AbstractWe prove that with “high probability” a random Kostlan polynomial in $$n+1$$ n + 1 many variables and of degree d can be approximated by a polynomial of “low degree” without changing the topology of its zero set on the sphere ...
Diatta, Daouda Niang, Lerario, Antonio
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Degree of adaptive approximation [PDF]
Mathematics of Computation, 1990 We obtain various estimates for the error in adaptive approximation and also establish a relationship between adaptive approximation and free-knot spline approximation.
DeVore, Ronald A, XIANG, Ming Yu
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Mustansiriyah Journal of Pure and Applied Sciences, 2023 Many researchers related to the degree of unconstrained approximation to constrained approximation, and proved the inequality: For a continuous function on a closed interval we have where is a positive constant.
null W. A. Ajel, null E. S. Bhaya
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Extension of Dasgupta’s Technique for Higher Degree Approximation
Universitas Scientiarum, 2021 In the present paper, rational wedge functions for degree two approximation have been computed over a pentagonal discretization of the domain, by using an analytic approach which is an extension of Dasgupta’s approach for linear approximation.
P. L. Powar +2 more
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The degree of approximation by Chebyshevian splines [PDF]
Transactions of the American Mathematical Society, 1973 This paper studies the connections between the smoothness of a function and its degree of approximation by Chebyshevian splines. This is accomplished by proving companion direct and inverse theorems which give a characterization of smoothness in terms of degree of approximation. A determination of the saturation properties is included.
DeVore, R., Richards, F.
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The Rate of Convergence for Linear Shape-Preserving Algorithms
Concrete Operators, 2015 We prove some results which give explicit methods for determining an upper bound for the rate of approximation by means of operators preserving a cone. Thenwe obtain some quantitative results on the rate of convergence for some sequences of linear shape ...
Boytsov Dmitry, Sidorov Sergei
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Approximation degree of Durrmeyer–Bézier type operators
Journal of Inequalities and Applications, 2018 Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov–Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators.
Purshottam N. Agrawal +3 more
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The degree of copositive approximation by polynomials [PDF]
Proceedings of the American Mathematical Society, 1983 Jackson type theorems are established for the approximation of a function f f that changes sign finitely many times in
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Lower bounds for the degree of approximation [PDF]
Transactions of the American Mathematical Society, 1960 is the optimal degree of approximation of 2W. In this paper we shall give simple methods which permit to find the order of magnitude of Dn(W) for several important classes ?1: for some classes of analytic functions (?6); for the unit ball AP+a of the space CP+a of functions with continuous derivatives of order p, which satisfy a Lipschitz condition ...
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