Results 1 to 10 of about 2,835 (222)
On an inequality of Kolmogorov and Stein [PDF]
Bulletin of the Australian Mathematical Society, 2000 A.N. Kolmogorov showed that, if f, f′, …, f (n) are bounded continuous functions on ℝ, then when 0 < k < n. This result was extended by E.M. Stein to Lebesgue Lp-spaces and by H.H. Bang to Orlicz spaces. In this paper, the inequality is extended to more general function spaces.
Bang, Ha Huy, Le, Hoang Mai
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Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
Researches in Mathematics, 2020 We obtain new sharp Kolmogorov type inequalities, estimating the norm of mixed Marchaud type derivative of multivariate function through the C-norm of function itself and its norms in Hölder spaces.
N.V. Parfinovych, V.V. Pylypenko
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On the Kolmogorov–Stein Inequality
Journal of Inequalities and Applications, 1999 Let \(\Phi: [0,\infty)\to [0,\infty]\) be a non-vanishing, non-decreasing and concave function such that \(\Phi(0)= 0\), and let \(N_\phi\) be the space of measurable functions \(f\) on \(\mathbb{R}\) such that \(\|f\|_{N_\phi}= \int^\infty_0 \Phi(\lambda_f(y)) dy y\}\), \(y\geq 0\). It is proved that if \(f\) and its generalized \(n\)th derivative \(f^
Ha Huy Bang, Hoang Mai Le
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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open Mathematics, 2023 Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
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Bell’s inequalities and kolmogorov’s axioms [PDF]
Pramana, 2001 After recalling proofs of the Bell inequality based on the assumptions of separability and of noncontextuality, the most general noncontextual contrapositive conditional probabilities consistent with the Aspect experiment are constructed. In general these probabilities are not all positive.
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Infinite Dimensional Widths and Optimal Recovery of a Function Class in Orlicz Spaces in L(R) Metric
Journal of Mathematics, 2023 In this paper, we study the infinite dimensional widths and optimal recovery of Wiener–Sobolev smooth function classes WM,1(Pr(D)) determined by the r-th differential operator Pr(D) in Orlicz spaces with L(R) metric.
Xinxin Li, Garidi Wu
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Inequality of weight status in urban Cuba: 2001–2010
Population Health Metrics, 2021 Background Although understanding changes in the body weight distribution and trends in obesity inequality plays a key role in assessing the causes and persistence of obesity, limited research on this topic is available for Cuba. This study thus analyzed
Peng Nie +7 more
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Investigating the Income Status of Isfahan Province Using a Parametric Approach: 2011-2021 [PDF]
پژوهشهای برنامه و توسعه, 2023 The purpose of this article is to investigate the distribution of household income in Isfahan province by using the data of the household income and expenditure plan, for the period of 2011-2021 using parametric methods.
Hamed Lorvand, MohammadReza Lali
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Strong laws of large numbers for general random variables in sublinear expectation spaces
Journal of Inequalities and Applications, 2019 In this paper, we obtain the equivalent relations between Kolmogorov maximal inequality and Hájek–Rényi maximal inequality both in moment and capacity types in sublinear expectation spaces.
Weihuan Huang, Panyu Wu
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ON THE BEST APPROXIMATION OF THE DIFFERENTIATION OPERATOR
Ural Mathematical Journal, 2015 In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their ...
Vitalii V. Arestov
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