Results 231 to 240 of about 20,934 (266)
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On Carleman Integral Operators
Canadian Mathematical Bulletin, 1970L2(a, b)1with the property2were originally defined by T. Carleman [4]. Here he imposed on the kernel the conditions of measurability and hermiticity,3for all x with the exception of a countable set with a finite number of limit points and4where Jδ denotes the interval [a, b] with the exception of subintervals |x - ξv| < δ; here ξv represents a ...
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Combinations of integral operators
Applied Mathematics and Computation, 2013In the present article we introduce a general sequence of summation-integral operators. The special cases of which are the well known Phillips and the Szasz-Beta operators. Here we consider the linear combinations of Szasz-Beta operators and establish a Voronovskaja-type theorem and a direct result in terms of higher order modulus of continuity.
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Pseudodifferential Operators as Integral Operators
2021All of the integral operators with nonintegrable kernels are given in terms of computable Hadamard's partie finie, i.e. finite part integrals [168], which can be applied to problems in applications (Guiggiani [163], Schwab et al [380]).
George C. Hsiao, Wolfgang L. Wendland
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Integral Operators on Sparse Grids
SIAM Journal on Numerical Analysis, 2002The main result of this paper is the application of biorthogonal anisotropic tensor product wavelet to the fast evaluation of integral expression. Meanwhile, the authors introduce the sparse grid approximation spaces to smoothness of the integral kernel and compression schemes for the corresponding discretizations.
Stephan Knapek, Frank Koster
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Regularity of Integral Operators
Integral Equations and Operator Theory, 2004The article aims on providing a proper analogue to the Hörmander condition for an integral operator to be bounded \(L^p\rightarrow I_\alpha(L^p)\), where the Sobolev space \(I_\alpha(L^p)\) is the image of \(L^p\) under the convolution with the Riesz potential \(I_\alpha: f\rightarrow (| \xi| ^{-\alpha} \widehat{f})^\vee\).
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Computers & Security, 1991
Although the issue of integrity in operating systems is generally perceived to be of fundamental importance in the preservation of security in a computer system, the term is commonly used to capture a variety of different notions. This paper considers and compares different notions of integrity that have been applied in the context of operating systems,
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Although the issue of integrity in operating systems is generally perceived to be of fundamental importance in the preservation of security in a computer system, the term is commonly used to capture a variety of different notions. This paper considers and compares different notions of integrity that have been applied in the context of operating systems,
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On Learning with Integral Operators.
J. Mach. Learn. Res., 2010A large number of learning algorithms, for example, spectral clustering, kernel Principal Components Analysis and many manifold methods are based on estimating eigenvalues and eigenfunctions of operators defined by a similarity function or a kernel, given empirical data.
ROSASCO, LORENZO +2 more
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INTEGRAL REPRESENTATIONS OF POLYHARMONIC OPERATORS
KIBERNETYKA TA SYSTEMNYI ANALIZThe study is devoted to establishing optimal mathematical models in the context of system analysis problems. Namely, nontrivial boundary conditions are applied to the problem of integrating polyharmonic equations in polar coordinates. The function, which is triharmonic in a unit disk, is presented in the form of an integral with a delta-like kernel ...
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New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators
Mathematics, 2021Maria Alessandra Ragusa +2 more
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New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators
Fractal and Fractional, 2023Eze Nwaeze +2 more
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