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Solution of an integral equation with a logarithmic kernel [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 A simple independent integral equation technique is presented to solve an integral equation with a logarithmic kernel which governs solutions of many two-dimensional Dirichlet boundary value problems involving two coplanar and parallel infinite strips ...
C. Sampath, D. J. Jain
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Nyström kernel algorithm based on least logarithmic hyperbolic cosine loss
Journal of Electronic Science and Technology, 2023 Kernel adaptive filters (KAFs) have sparked substantial attraction for online non-linear learning applications. It is noted that the effectiveness of KAFs is highly reliant on a rational learning criterion.
Shen-Jie Tang +8 more
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An improved smoothed particle hydrodynamics approach using new inverse kernel function
Journal of Ocean Engineering and Science, 2022 The main limitation of Smoothed Particle Hydrodynamics (SPH) method that resists the method's potential is its lack of providing stability and accuracy to the numerical technique.
J.R. Rajapriyadharshini
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Single-Logarithmic Corrections to Small-$x$ Helicity Evolution
SciPost Physics Proceedings, 2022 The small-$x$ quark helicity evolution equations at double-logarithmic order, with the kernel $\sim\alpha_s\ln^2(1/x)$, have been derived previously. In this work, we derive the single-logarithmic corrections to the equations, to order $\alpha_s\ln(1 ...
Yossathorn Tawabutr
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Logarithmic heat kernel estimates without curvature restrictions
The Annals of Probability, 2023 The main results of the article are short time estimates and asymptotic estimates for the first two order derivatives of the logarithmic heat kernel of a complete Riemannian manifold. We remove all curvature restrictions and also develop several techniques.
Chen, Xin, Li, Xue-Mei, Wu, Bo
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Fractional operators with Kaniadakis logarithm kernels
INTERMATHS, 2022 In this article, more general types of fractional operators with κ-deformed logarithm kernels are proposed. We analyse the new operators and prove various facts about them, including a semi group property. Results of existence are established in appropriate functional spaces. We prove that these results are valid at once for several standard fractional
Ana Paula Perovano +1 more
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Helicity evolution at small x: the single-logarithmic contribution
Journal of High Energy Physics, 2022 We calculate single-logarithmic corrections to the small-x flavor-singlet helicity evolution equations derived recently [1–3] in the double-logarithmic approximation.
Yuri V. Kovchegov +2 more
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Kernel Least Logarithmic Absolute Difference Algorithm
Mathematical Problems in Engineering, 2022 Kernel adaptive filtering (KAF) algorithms derived from the second moment of error criterion perform very well in nonlinear system identification under assumption of the Gaussian observation noise; however, they inevitably suffer from severe performance degradation in the presence of non-Gaussian impulsive noise and interference.
Dongliang Fu +3 more
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On the Negativity of the Walsh–Kaczmarz–Riesz Logarithmic Kernels [PDF]
Mathematica Pannonica, 2021 The main aim of this paper is to prove that the nonnegativity of the Riesz’s logarithmic kernels with respect to the Walsh– Kaczmarz system fails to hold.
Gát, György, Lucskai, Gábor
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Fractal and Fractional, 2023 The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim +3 more
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