Results 11 to 20 of about 52,088 (229)
, 2011 We define an integral, the distributional integral of functions of one real variable, that is more general than the Lebesgue and the Denjoy-Perron-Henstock-Kurzweil integrals, and which allows the integration of functions with distributional values ...
Estrada, Ricardo, Vindas, Jasson
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Fractional integrals and derivatives: mapping properties [PDF]
, 2016 This survey is aimed at the audience of readers interested in the information on mapping properties of various forms of fractional integration operators, including multidimensional ones, in a large scale of various known function spaces.As is well known,
Rafeiro, Humberto, Samko, Stefan
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The Gauge Integral Theory in HOL4
Journal of Applied Mathematics, 2013 The integral is one of the most important foundations for modeling dynamical systems. The gauge integral is a generalization of the Riemann integral and the Lebesgue integral and applies to a much wider class of functions. In this paper, we formalize the
Zhiping Shi +6 more
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Rectified fractional order iterative learning control for linear system with initial state shift
Advances in Difference Equations, 2018 In this paper, a new rectifying action is combined into different proportional-α-order-derivative-type iterative learning control algorithms for a class of fractional order linear time-invariant systems.
Lei Li
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, 2009 We study Lebesgue integration of sums of products of globally subanalytic functions and their logarithms, called constructible functions. Our first theorem states that the class of constructible functions is stable under integration.
Cluckers, Raf, Miller, Daniel J.
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Differentiation Theory over Infinite-Dimensional Banach Spaces
Journal of Mathematics, 2016 We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded real sequences xnn∈I and a measure over RI,B(I) that generalizes the k-dimensional Lebesgue one.
Claudio Asci
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The idempotent Radon--Nikodym theorem has a converse statement
, 2013 Idempotent integration is an analogue of the Lebesgue integration where $\sigma$-additive measures are replaced by $\sigma$-maxitive measures. It has proved useful in many areas of mathematics such as fuzzy set theory, optimization, idempotent analysis ...
Poncet, Paul
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On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces [PDF]
Computer Science Journal of Moldova, 2000 We investigate in this paper problems of theoretical foundation of collocations and mechanical quadratures methods for approximate solution of singular integral equation systems in the case, when their symbols have on the integration contour a finite set
T. Cibotaru
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International Journal of Differential Equations, 2019 In this work, we consider an initial value problem of a nonhomogeneous retarded functional equation coupled with the impulsive term. The fundamental matrix theorem is employed to derive the integral equivalent of the equation which is Lebesgue integrable.
D. K. Igobi, U. Abasiekwere
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Integrable Functions Versus a Generalization of Lebesgue Points in Locally Compact Groups [PDF]
, 2013 The author is thankful to the referee for his valuable comments and suggestions that led to an improvement of the paper. He also owes to Prof. M. N. Mukherjee of the Deptt.
Basu, Sanji
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