Results 61 to 70 of about 5,494,498 (205)
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study employs the modified Atangana–Baleanu Caputo (MABC) fractional derivative to investigate fractional linear electrical systems. The MABC operator is defined through a convolution representation that extends the admissible function space from H1(0, 1) to the broader class L1(0, 1); on the smooth source terms and nonlinearity considered here ...
Ekta Mittal +3 more
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The accuracy of approximation function of two real variables of non-classical Newtonian majorant
, 2014 Розглянуто питання точності наближення двох дійсних змінних некласичною мажорантою Ньютона.In the article is suggested the question of the accuracy of approximation function of two real variables of non-classical Newtonian ...
Глебена, Мирослава Іванівна
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Spectral Analysis of the Dunkl–Bessel Laplacian and Its Applications
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we develop a concrete von Neumann spectral analysis of the Dunkl–Bessel Laplacian −Δκ,αW, considered through its maximal even distributional realization on Lκ,α2,ℝ+d+1. We first prove that this realization is nonnegative and self‐adjoint and that its spectrum coincides with its continuous spectrum and is equal to [0, +∞), whereas its ...
Abdelilah El Mourni +3 more
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Fractional Whittaker Functions via a Fractional Kummer Equation
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We develop a fractional analogue of the regular Whittaker function through a fractional Kummer equation constructed from the Caputo derivative and the associated fractional Euler operator Θα=xαCD0+α,01<α≤. The resulting fractional‐power series is governed by the sequence qnα=Γαn+1/Γαn−1+1,n≥10,q0α≔,which determines the coefficient recurrence ...
Muath Awadalla +2 more
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Majorant problems in harmonic analysis
, 1976 In various questions of Harmonic analysis we encounter the problem of deriving a norm inequality between a pair of functions when we know a (point wise) inequality between the transforms of these functions.
Rains, Michael Anthony
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S-Matrix of Nonlocal Scalar Quantum Field Theory in Basis Functions Representation
Particles, 2019 Nonlocal quantum theory of a one-component scalar field in D-dimensional Euclidean spacetime is studied in representations of S -matrix theory for both polynomial and nonpolynomial interaction Lagrangians.
Ivan V. Chebotarev +3 more
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Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED +3 more
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Subharmonic functions and associated measures in ℝn
Open MathematicsFor subharmonic functions ss in Rn,n≥2,{{\mathbb{R}}}^{n},n\ge 2, there is an associated Radon measure μ\mu that is used to represent ss locally as an integral up to an additive harmonic function. We prove that the total measure μ(R2)\mu ({{\mathbb{R}}}^
Bajunaid Ibtesam
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, 2017 We present a local convergence analysis of the proximal Gauss-Newton method for solving penalized nonlinear least squares problems in a Hilbert space setting. Using more precise majorant conditions than in earlier studies such as (Allende and Goncalves) [
Argyros, Ioannis K +2 more
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On the Hardy-Littlewood majorant problem
, 2003 Consider a trigonometric polynomial f of degree N, and associate to it the polynomial F in which each coefficient of f is replaced by its absolute value. F is called the majorant of f.
Ruzsa, I, Ruzsa, IZ, Green, BJ, Green, B
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