Results 201 to 210 of about 18,020 (238)

Gonska Progress in Global Smoothness Preservation

2000
Here global smoothness is mainly expressed by the Peetre K-functional of order s ≥1, defined by $$ \begin{gathered} K_S \left( {f,\delta } \right): = K\left( {f;\delta ;C\left( {\left[ {0,1} \right]} \right),C^s \left( {\left[ {0,1} \right]} \right)} \right) \hfill \\ : = \inf \left\{ {\parallel f - g\parallel _\infty :g \in C^s \left( {\left[ {0,1}
George A. Anastassiou, Sorin G. Gal
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Global Smoothness Preservation by Trigonometric Operators

2000
Let {Tn(f)}n be a sequence of trigonometric approximation operators applied to a continuous periodic function f ∈ C2π.
George A. Anastassiou, Sorin G. Gal
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General Theory of Global Smoothness Preservation by Singular Integrals, Univariate Case

Journal of Computational Analysis and Applications, 1999
The authors consider the well-known singular integral of Picard in spaces \(L^p({\mathbb R})\), \(1 \leq p \leq \infty\), the well-known singular integrals of Poisson-Cauchy and Gauss-Weierstrass in spaces \(L^p_{2\pi}\), \(1 \leq p \leq \infty\), \(C_{2\pi}\), their Jackson-type generalizations, and the singular integral \[ (L_{\xi}f)(x) = \frac{1 ...
Anastassiou, George A., Gal, Sorin G.
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FUZZY GLOBAL SMOOTHNESS PRESERVATION

2010
Here we present the property of global smoothness preservation for fuzzy linear operators acting on spaces of fuzzy continuous functions. Basically we transfer the property of real global smoothness preservation into the fuzzy setting, via some natural realization condition fulfilled by almost all example-fuzzy linear operators.
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Global Smoothness Preservation by Algebraic Interpolation Operators

2000
Let {Ln(f)}n be a sequence of approximation algebraic operators, applied to a non-periodic function f ∈ C[a, b]. When {Ln(f)}n does not preserve the global smoothness of f,a natural question arises: how much of the global smoothness of f is preserved by {L n (f)} n ?
George A. Anastassiou, Sorin G. Gal
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Non‐linear prestack seismic inversion with global optimization using an edge‐preserving smoothing filter

Geophysical Prospecting, 2013
ABSTRACTEstimating elastic parameters from prestack seismic data remains a subject of interest for the exploration and development of hydrocarbon reservoirs. In geophysical inverse problems, data and models are in general non‐linearly related. Linearized inversion methods often have the disadvantage of strong dependence on the initial model.
Yan Zhe, Gu Hanming
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Other Applications of the Global Smoothness Preservation Property

2000
In this last chapter we discuss some implications of the global smoothness preservation phenomenon in various fields of mathematics.
George A. Anastassiou, Sorin G. Gal
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General Theory of Global Smoothness Preservation by Univariate Singular Operators

2000
In this chapter we show that the well-known singular integrals of Picard, Poisson-Cauchy, Gauss-Weierstrass and their Jackson type generalizations satisfy the “global smoothness preservation” property. I.e., they “ripple” less than the function they are applied on, that is producing a nice and fit approximation to the unit.
George A. Anastassiou, Sorin G. Gal
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Global Smoothness Preservation and Simultaneous Approximation by Multivariate General Singular Integrals

2011
In this chapter, we continue with the study of multivariate smooth general singular integral operators over R N , N ≥ 1, regarding their simultaneous global smoothness preservation property with respect to the L p norm, 1 ≤ p ≤ ∞, by involving multivariate higher order moduli of smoothness. Also, we present their multivariate simultaneous approximation
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Global Smoothness Preservation and Uniform Convergence of Singular Integral Operators in the Fuzzy Sense

2011
In this chapter, we study the fuzzy global smoothness and fuzzy uniform convergence of fuzzy Picard, Gauss- Weierstrass and Poisson- Cauchy singular fuzzy integral operators to the fuzzy unit operator. These are given with rates involving the fuzzy modulus of continuity of a fuzzy derivative of the involved function.
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