On a measure of noncompactness in the space of regulated functions and its applications
Advances in Nonlinear Analysis, 2018 In this paper we formulate a criterion for relative compactness in the space of functions regulated on a bounded and closed interval. We prove that the mentioned criterion is equivalent to a known criterion obtained earlier by D.
Banaś Józef, Zając Tomasz
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Stable Approximations of a Minimal Surface Problem with Variational Inequalities
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 137-161, 1997., 1997 In this paper we develop a new approach for the stable approximation of a minimal surface problem associated with a relaxed Dirichlet problem in the space BV(Ω) of functions of bounded variation. The problem can be reformulated as an unconstrained minimization problem of a functional 𝒥 on BV(Ω) defined by 𝒥(u) = 𝒜(u) + ∫∂Ω|Tu − Φ|, where 𝒜(u) is the ...
M. Zuhair Nashed, Otmar Scherzer
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Analysis and Geometry in Metric Spaces, 2013 In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length.
Mennucci Andrea C.G.
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On Kantorovich variant of Brass-Stancu operators
Demonstratio MathematicaIn this study, we deal with Kantorovich-type generalization of the Brass-Stancu operators. For the sequence of these operators, we study Lp{L}^{p}-convergence and give some upper estimates for the Lp{L}^{p}-norm of the approximation error via first-order
Bodur Murat +2 more
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On irregular functionals of SDEs and the Euler scheme
Stochastic differential equations, Approximation, Rate of convergence, Euler scheme, 60H10, 41A25, 26A45, 65C20, 65C30, C63, C65, G12,
Rainer Avikainen
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Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
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Lack of association between SNPsrs8176719 (O blood group) and COVID-19: Data from Spanish age matched patients and controls. [PDF]
Transfusion, 2021 Coto E +3 more
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Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text]-balls. [PDF]
J Inequal Appl, 2018 Liu F.
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Decomposition characteristics of indigenous organic fertilisers and introduced quick compost and their short-term nitrogen availability in the semi-arid Ethiopian Rift Valley. [PDF]
Sci Rep, 2019 Mukai S, Oyanagi W.
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