Results 31 to 40 of about 1,233,346 (75)

On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications

Integral transforms and special functions, 2023
The main aim of this work is to establish a new polyconvolution operator with the weight function for the Hartley integral transforms. After that, we will apply it to solve some classes of integral equations and a system of integral equations of ...
N. M. Khoa
semanticscholar   +1 more source

Integral Human Pose Regression

European Conference on Computer Vision, 2017
State-of-the-art human pose estimation methods are based on heat map representation. In spite of the good performance, the representation has a few issues in nature, such as not differentiable and quantization error.
Xiao Sun, Bin Xiao, Shuang Liang, Yichen Wei   +3 more
semanticscholar   +1 more source

The Riesz Transform and Fractional Integral Operators in the Bessel Setting

Integral equations and operator theory, 2023
Fix λ>0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda >0$$\end ...
J. Betancor, X. Duong, Ming-Yi Lee, Ji Li, B. Wick   +4 more
semanticscholar   +1 more source

Dual Laplace integral transforms associated to Jacobi-Dunkl kernel

Integral transforms and special functions
In this paper, we give a dual Laplace representation for the Jacobi-Dunkl kernel. We exploit this representation to define a pair of dual integral transforms $ \chi _{\alpha,\beta } $ χα,β and its transposed $ {}^t\chi _{\alpha,\beta } $ tχα,β.
N. Abdallah, F. Chouchene
semanticscholar   +1 more source

Deep Neural Network Solutions for Oscillatory Fredholm Integral Equations

Journal of Integral Equations and Applications
We studied the use of deep neural networks (DNNs) in the numerical solution of the oscillatory Fredholm integral equation of the second kind. It is known that the solution of the equation exhibits certain oscillatory behaviors due to the oscillation of ...
Jie Jiang, Yuesheng Xu
semanticscholar   +1 more source

Titchmarsh-type theorems for the Hartley integral transform

Integral transforms and special functions
In this paper, we investigate the Plancherel theorem, inversion formula, and a shift operator associated with the Hartley integral transform. Building on these results, we introduce Hartley–Lipschitz type classes and derive analogues of Titchmarsh's ...
F. Bouzeffour
semanticscholar   +1 more source

An existence result for functional integral equations via Petryshyn’s fixed point theorem

Journal of Integral Equations and Applications, 2022
In this article, using Petryshyn’s fixed point theorem associated with the measure of non-compactness, we discuss the existence result for functional integral equations in Banach algebra, which covers many existence results for functional integral ...
A. Deep, Ashisha Kumar, Syed Abbas, B. Hazarika   +3 more
semanticscholar   +1 more source

EXISTENCE AND APPROXIMATE SOLUTIONS FOR HADAMARD FRACTIONAL INTEGRAL EQUATIONS IN A BANACH SPACE

Journal of Integral Equations and Applications, 2023
M. Kazemi, H. Chaudhary, Amar Deep
semanticscholar   +1 more source

REFLECTED GENERALIZED BSDE WITH JUMPS UNDER STOCHASTIC CONDITIONS AND AN OBSTACLE PROBLEM FOR INTEGRAL-PARTIAL DIFFERENTIAL EQUATIONS WITH NONLINEAR NEUMANN BOUNDARY CONDITIONS

Journal of Integral Equations and Applications, 2023
Mohammed Elhachemy, M. El Otmani
semanticscholar   +1 more source

SOLVABILITY FOR FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN’S FIXED-POINT THEOREM

Journal of Integral Equations and Applications, 2023
Amar Deep, Deepika Saini, Hitesh Kumar Singh, Ü. Çakan   +3 more
semanticscholar   +1 more source