On Recovery of the Singular Differential Laplace—Bessel Operator from the Fourier–Bessel Transform [PDF]
Mathematics, 2023 This paper is devoted to the problem of the best recovery of a fractional power of the B-elliptic operator of a function on R+N by its Fourier–Bessel transform known approximately on a convex set with the estimate of the difference between Fourier–Bessel
Sergey M. Sitnik +3 more
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Fault diagnosis method of rolling-element bearings via FBEWT and EIRVM [PDF]
Scientific ReportsPrompt and accurate detection of rolling-element-bearing defects is essential for the reliable operation of rotating equipment. This study presents an enhanced diagnostic strategy that couples Fourier–Bessel empirical wavelet transform (FBEWT) with an ...
Qingshou Zheng +5 more
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Null-image effect of planar coils over a grounded ferrite slab [PDF]
Scientific ReportsThis paper presents a rigorous formulation based on the inverse Fourier–Bessel transform to determine the contribution of non-conservative electric fields (or vector potentials) due to a circular current filament from the actual and image currents ...
Ruey-Bing Hwang
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The Continuous Wavelet Transform for a q-Bessel Type Operator
International Journal of Analysis and Applications, 2022 In this paper, we consider a differential operator on - By accomplishing harmonic analysis tools with respect to the operator we study some definitions and properties of q-Bessel continuous wavelet transform.
C.P. Pandey, Jyoti Saikia
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Some Upper Bounds for RKHS Approximation by Bessel Functions
Axioms, 2022 A reproducing kernel Hilbert space (RKHS) approximation problem arising from learning theory is investigated. Some K-functionals and moduli of smoothness with respect to RKHSs are defined with Fourier–Bessel series and Fourier–Bessel transforms ...
Mingdang Tian +2 more
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Flattened Gaussian focal spot with uniform phase produced by photon sieve
Heliyon, 2023 The equivalent pupil and the point spread function constitute the Fourier–Bessel transform relation. Based on this, we established the equivalent pupil function theory of rotating symmetric photon sieve and derived the Fourier transform of the flattened ...
Changjie Cheng +4 more
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Fault diagnosis of gearbox based on Fourier Bessel EWT and manifold regularization ELM
Scientific Reports, 2023 The novel fault diagnosis method of gearbox based on Fourier Bessel series expansion-based empirical wavelet transform (FBEWT) and manifold regularization extreme learning machine (MRELM) is proposed to obtain excellent fault diagnosis results of gearbox
Ke Wang, Fengqing Qin
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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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Beurling's theorems and inversion formulas for certain index transforms [PDF]
Opuscula Mathematica, 2009 The familiar Beurling theorem (an uncertainty principle), which is known for the Fourier transform pairs, has recently been proved by the author for the Kontorovich-Lebedev transform.
Semyon B. Yakubovich
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Automated Emotion Identification Using Fourier–Bessel Domain-Based Entropies
Entropy, 2022 Human dependence on computers is increasing day by day; thus, human interaction with computers must be more dynamic and contextual rather than static or generalized.
Aditya Nalwaya +2 more
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