Results 1 to 10 of about 667,632 (136)
Efficient algorithms for integrals with highly oscillatory Hankel kernels
Results in Applied Mathematics, 2022 We present an efficient numerical algorithm for approximating integrals with highly oscillatory Hankel kernels. First, using the integral expression of the Hankel function, the integral is transformed into the integral of the trigonometric kernel, and ...
Qinghua Wu, Mengjun Sun
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Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces
Journal of Function Spaces, 2023 In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular ...
Yanlong Shi, Li Li, Zhonghua Shen
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BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
Tạp chí Khoa học Đại học Đà Lạt, 2022 In this paper, we present some explicit exponents in the estimates for the volumes of sub-level sets of polynomials on bounded sets and applications to the decay of oscillatory integrals and the convergence of singular integrals.
Loi Le Ta, Minh Quy Pham
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Three-Dimensional Elastodynamic Analysis Employing Partially Discontinuous Boundary Elements
Algorithms, 2021 Compared with continuous elements, discontinuous elements advance in processing the discontinuity of physical variables at corner points and discretized models with complex boundaries.
Yuan Li +4 more
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On approximation of two-dimensional potential and singular operators [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane.
Charyyar Ashyralyyev, Sedanur Efe
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BCR algorithm and the $T(b)$ theorem [PDF]
, 2007 We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
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Some one-sided estimates for oscillatory singular integrals [PDF]
, 2014 The purpose of this paper is to establish some one-sided estimates for oscillatory singular integrals. The boundedness of certain oscillatory singular integral on weighted Hardy spaces $H^{1}_{+}(w)$ is proved. It is here also show that the $H^{1}_{+}(w)$
Fu, Zunwei +3 more
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Журнал Белорусского государственного университета: Математика, информатика, 2019 In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
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Singular integral operators on tent spaces [PDF]
, 2012 We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels.
Auscher, Pascal +3 more
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Journal of Inequalities and Applications, 2017 The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities.
Zizun Li, Wu-Sheng Wang
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