Results 91 to 100 of about 229 (177)

About Uniform Regularity of Collections of Sets [PDF]

, 2013
We further investigate the uniform regularity property of collections of sets via primal and dual characterizing constants. These constants play an important role in determining convergence rates of projection algorithms for solving feasibility problems.
Kruger, Alexander Y., Thao, Nguyen H.
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SPARSE APPROXIMATION AND RECOVERY BY GREEDY ALGORITHMS IN BANACH SPACES

Forum of Mathematics, Sigma, 2014
We study sparse approximation by greedy algorithms. We prove the Lebesgue-type inequalities for the weak Chebyshev greedy algorithm (WCGA), a generalization of the weak orthogonal matching pursuit to the case of a Banach space.
V. N. TEMLYAKOV
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On trigonometric approximation of functions in the Lq norm

Demonstratio Mathematica, 2018
In this paper we obtain a degree of approximation of functions in Lq by operators associated with their Fourier series using integral modulus of continuity. These results generalize many known results and are proved under less stringent conditions on the
Mohapatra Ram N., Szal Bogdan
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The Lower Estimate for Bernstein Operator [PDF]

, 2013
MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Tachev, Gancho T., Gal, Sorin G.
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A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals [PDF]

, 2006
2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness.
Zapryanova, T.
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Approximation of complex q-Beta-Baskakov-Szász-Stancu operators in compact disk

Demonstratio Mathematica
The purpose this study is to present and investigate the qq-Beta-Baskakov-Szasz-Stancu operator. The operators are accompanied by Voronovskaja-type consequences, which include both an exact approximation order and a quantitative assessment, specifically ...
Cheregi Larisa, Mursaleen Mohammad
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Faster approximation to multivariate functions by combined Bernstein-Taylor operators

Demonstratio Mathematica
In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators.
Duman Oktay
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Quantitative uniform approximation by generalized discrete singular operators [PDF]

, 2015
Here we study the approximation properties with rates of generalized discrete versions of Picard, Gauss-Weierstrass, and Poisson-Cauchy singular op- erators. We treat both the unitary and non-unitary cases of the operators above.
KESTER, Merve, ANASTASSIOU, George A.
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Overiteration of d-variate tensor product Bernstein operators: A quantitative result (Dedicated to the memory of Professor Sorin Gal) [PDF]

Extending an earlier estimate for the degree of approximation of over iterated univariate Bernstein operators towards the same operator of degree one, it is shown that an analogous result holds in the d-variate case.
ACU, Ana-Maria, GONSKA, Heiner
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On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions [PDF]

, 2011
AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85.The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined ...
Draganov, Borislav R.
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