Results 21 to 30 of about 4,169,013 (222)
A cauchy criterion and a convergence theorem for Riemann-complete integral [PDF]
Journal of the Australian Mathematical Society, 1972 In 1957 Kurzweil [1] proved some theorems concerning a generalized type of differential equations by defining a Riemann-type integral, but he did not study its properties beyond the needs of that research. This was done by R. Henstock [2, 3], who named it a Riemann-complete integral.
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Mathematics, 2023 This paper studies the uniqueness of the bounded solution to a new Cauchy problem of the fractional nonlinear partial integro-differential equation based on the multivariate Mittag–Leffler function as well as Banach’s contractive principle in a complete ...
Chenkuan Li +3 more
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On Convergence of Fuzzy Integrals over Complete Residuated Lattices
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011), 2011 Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type ⟨1, 1⟩ fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this contribution, we would like to present some results
Antonín Dvorák, Michal Holcapek
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AIMS Mathematics, 2023 <abstract><p>In the paper, the complete convergence and complete integral convergence for weighted sums of negatively dependent random variables under the sub-linear expectations are established. The results in the paper extend some complete moment convergence theorems from the classical probability space to the situation of sub-linear ...
Lunyi Liu, Qunying Wu
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Full-chain modeling and performance analysis of integral imaging three-dimensional display system
Journal of the European Optical Society-Rapid Publications, 2020 The full-chain system performance characterization is very important for the optimization design of an integral imaging three-dimensional (3D) display system.
Ying Yuan +5 more
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A Complete Normed Space of a Class of Guage Integrable Functions
Journal of Mathematics, 2022 The space of all gauge integrable functions equipped with the Alexiewicz norm is not a Banach space. This article defines a class of gauge integrable functions that pose a complete normed space under a suitable norm.
Yassin Alzubaidi
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Complete $f$-moment convergence for weighted sums of WOD arrays with statistical applications [PDF]
, 2023 summary:Complete $f$-moment convergence is much more general than complete convergence and complete moment convergence. In this work, we mainly investigate the complete $f$-moment convergence for weighted sums of widely orthant dependent (WOD, for short)
Chen, Xi, Tao, Xinran, Wang, Xuejun
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AIMS Mathematics, 2021 <abstract><p>Limit theorems of sub-linear expectations are challenging field that has attracted widespread attention in recent years. In this paper, we establish some results on complete integration convergence for weighted sums of arrays of rowwise extended negatively dependent random variables under sub-linear expectations.
Shuyan Li, Qunying Wu
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Application of Collocation BEM for Axisymmetric Transmission Problems in Electro- and Magnetostatics
Mathematical Modelling and Analysis, 2016 This paper considers the numerical solution of boundary integral equations for an exterior transmission problem in a three-dimensional axisymmetric domain.
Olga Lavrova, Viktor Polevikov
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New homotopy analysis transform method for solving multidimensional fractional diffusion equations
Arab Journal of Basic and Applied Sciences, 2020 In this paper, we introduce a new semi-analytical method called the homotopy analysis Shehu transform method (HASTM) for solving multidimensional fractional diffusion equations.
Shehu Maitama, Weidong Zhao
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