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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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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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Approximation degree of Durrmeyer–Bézier type operators [PDF]
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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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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Degree of simultaneous approximation by Birkhoff splines [PDF]
Journal of Numerical Analysis and Approximation Theory, 2001 In the present note we study the degree of simultaneous approximation by certain Birkhoff spline interpolation operators. Special emphasis is on estimates in terms of higher order moduli of smoothness. This generalizes earlier results of Meir and Sharma,
Heiner Gonska, Daniela Kacsó
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Degree of Approximation and Green Potential [PDF]
Journal of Mathematical Extension, 2009 We will relate the degree of rational approximation of a meromorphic function f to the minimum value, on the natural boundary of f, of Green potential of the weak∗ limit of the normalized pole-counting ...
M. Simkani
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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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Fast Approximation Algorithms for Bounded Degree and Crossing Spanning Tree Problems [PDF]
, 2021 We develop fast approximation algorithms for the minimum-cost version of the Bounded-Degree MST problem (BD-MST) and its generalization the Crossing Spanning Tree problem (Crossing-ST). We solve the underlying LP to within a (1+ε) approximation factor in
Torres, Manuel R. +2 more
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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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