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Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations [PDF]
Journal of Inequalities and Applications, 2019 The goal of this paper is to build complete convergence and complete integral convergence for END sequences of random variables under sub-linear expectation space.
Ziwei Liang, Qunying Wu
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Discrete Dynamics in Nature and Society, 2021 Using different methods than the probability space, under the condition that the Choquet integral exists, we study the complete convergence theorem for weighted sums of widely acceptable random variables under sublinear expectation space.
Rong Hu, Qunying Wu
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Mathematical Modelling and Analysis, 2023 A complete hypersingular integral equation of the second kind was obtained as a boundary integral equation for the diffraction and scattering problem of electromagnetic waves in space separated by the periodically placed non-perfectly conducting strips.
Oleksii V. Kostenko
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Unified Convergence Criteria for Iterative Banach Space Valued Methods with Applications
Mathematics, 2021 A plethora of sufficient convergence criteria has been provided for single-step iterative methods to solve Banach space valued operator equations. However, an interesting question remains unanswered: is it possible to provide unified convergence criteria
Ioannis K. Argyros
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Alternating direction implicit method for poisson equation with integral conditions
Mathematical Modelling and Analysis, 2023 In this paper, we investigate the convergence of the Peaceman-Rachford Alternating Direction Implicit method for the system of difference equations, approximating the two-dimensional elliptic equations in rectangular domain with nonlocal integral ...
Olga Štikonienė, Mifodijus Sapagovas
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Modified Bernstein–Durrmeyer Type Operators
Mathematics, 2022 We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
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PID controller‐based adaptive gradient optimizer for deep neural networks
IET Control Theory & Applications, 2023 Due to improper selection of gradient update direction or learning rate, SGD optimization algorithms for deep learning suffer from oscillation and slow convergence.
Mingjun Dai +4 more
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Iterating Fixed Point via Generalized Mann’s Iteration in Convex b-Metric Spaces with Application
Complexity, 2021 This manuscript investigates fixed point of single-valued Hardy-Roger’s type F-contraction globally as well as locally in a convex b-metric space. The paper, using generalized Mann’s iteration, iterates fixed point of the abovementioned contraction ...
A. Asif +4 more
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Mathematics, 2020 This work is devoted to Fredholm integral equations of second kind with non-separable kernels. Our strategy is to approximate the non-separable kernel by using an adequate Taylor’s development. Then, we adapt an already known technique used for separable
José Manuel Gutiérrez +2 more
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On integration with respect to filter
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023 This article is devoted to the study of one generalization of the Riemann integral. Namely, in the paper, it was observed that the classical definition of the Riemann integral over a finite segment as a limit of integral sums, when the diameter of the ...
Dmytro Seliutin
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