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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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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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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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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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Approximation theory - moduli of continuity and global smoothness preservation.
George A. Anastassiou, Sorin G. Galopenaire

