Uniform boundedness of Kantorovich operators in Morrey spaces
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DOI: 10.1007/s11117-018-0561-x
Abstract: In this paper, the Kantorovich operators $$K_n, n\in \mathbb {N}$$Kn,n∈N are shown to be uniformly bounded in Morrey spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the difference $$K_n(f)-f$$Kn(f)-f for… read more here.
Keywords: morrey spaces; kantorovich operators; uniform boundedness; operators morrey ... See more keywords
Global well-posedness and uniform boundedness of urban crime models: One-dimensional case
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DOI: 10.1016/j.jde.2020.04.035
Abstract: Abstract In this paper, we study a PDE system which was proposed by Short et al. (2008) [42] to describe the spatial-temporal dynamics in urban criminal activity. By establishing a user-friendly integral inequality, we prove… read more here.
Keywords: boundedness urban; global well; well posedness; uniform boundedness ... See more keywords
Uniform Boundedness in the Sense of Poisson of Solutions of Systems of Differential Equations and Lyapunov Vector Functions
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DOI: 10.1134/s0012266118010056
Abstract: We introduce several generalizations of the properties of equiboundedness and uniform boundedness of solutions of ordinary differential systems, which are united by the common names of equiboundedness in the sense of Poisson and uniform boundedness… read more here.
Keywords: boundedness sense; sense poisson; uniform boundedness;