Results 11 to 20 of about 2,217 (207)
Paradoxical characterization of Lebesgue nonmeasurable sets
Heliyon, 2020 We show that a set A⊆Rn is nonmeasurable in the sense of Lebesgue if and only if it has a common density point with its complement Ac. Moreover, if there exists a density point of both A and Ac, then the set of such points has a positive Lebesgue measure.
Łukasz Kruk
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Lebesgue measure is a representing measure [PDF]
Proceedings of the American Mathematical Society, 1974 Lebesgue measure on the unit interval I I is multiplicative on some maximal Dirichlet algebra on
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Inequalities in Riemann–Lebesgue Integrability
Mathematics, 2023 In this paper, we prove some inequalities for Riemann–Lebesgue integrable functions when the considered integration is obtained via a non-additive measure, including the reverse Hölder inequality and the reverse Minkowski inequality.
Anca Croitoru +3 more
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Why we need Non absolute integral in place of Lebesgue integral?
Dera Natung Government College Research Journal, 2021 In this survey note we discuss about non absolute integrable functions and we put our view about the question: Why we need Non absolute integral in place of Lebesgue integral?
Hemanta Kalita, Bipan Hazarika
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Non-Newtonian Comment of Lebesgue Measure in Real Numbers
Journal of Mathematics, 2017 We would like to generalize to non-Newtonian real numbers the usual Lebesgue measure in real numbers. For this purpose, we introduce the Lebesgue measure on open and closed sets in non-Newtonian sense and examine their basic properties.
Cenap Duyar, Birsen Sağır
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SIFAT-SIFAT DASAR PERLUASAN INTEGRAL LEBESGUE
Barekeng, 2012 EL-Integral is extended of Lebesgue integral, 1 k b EL f d L f d . Lebesgue integral is defined with early arrange measure theory that famous with Lebesgue measure.
Yopi A. Lesnussa +2 more
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A proof of the homeomorphism of Lebesgue-Stieltjes measure with Lebesgue measure [PDF]
Proceedings of the American Mathematical Society, 1975 An elementary proof is given of the fact that nonatomic measures on n n space, for which open sets have positive measure ...
Goffman, Casper, Pedrick, George
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Estimates for Parameter Littlewood-Paley gκ⁎ Functions on Nonhomogeneous Metric Measure Spaces
Journal of Function Spaces, 2016 Let (X,d,μ) be a metric measure space which satisfies the geometrically doubling measure and the upper doubling measure conditions. In this paper, the authors prove that, under the assumption that the kernel of Mκ⁎ satisfies a certain Hörmander-type ...
Guanghui Lu, Shuangping Tao
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Journal of Inequalities and Applications, 2023 A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
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Analogue of Lebesgue-Radon-Nikodym Theorem with respect to 𝑝-adic 𝑞-Measure on ℤ𝑝
Abstract and Applied Analysis, 2011 Recently, Lebesgue-Radon-Nikodym theorem with respect to fermionic 𝑝-adic invariant measure on ℤ𝑝 was studied in Kim. In this paper we will give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to 𝑝-adic 𝑞-measure on ℤ𝑝. In special case, 𝑞=
T. Kim +3 more
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