共查询到20条相似文献,搜索用时 0 毫秒
1.
H. Alzer 《Periodica Mathematica Hungarica》1992,25(3):269-271
2.
《International Journal of Approximate Reasoning》2008,49(3):829-835
A Chebyshev type inequality for Sugeno integral is shown. Previous results of Flores-Franulič and Román-Flores [A. Flores-Franulič, H. Román-Flores, A Chebyshev type inequality for fuzzy integrals, Applied Mathematics and Computation 190 (2007) 1178–1184] are generalized. Several illustrated examples are given. As an application, a fuzzy Stolarsky’s inequality is obtained. 相似文献
3.
M. K. Potapov B. V. Simonov S. Yu. Tikhonov 《Moscow University Mathematics Bulletin》2008,63(3):115-118
An inequality of P. L. Ul’yanov connecting smoothness moduli of periodic functions in different metrics is refined in the paper. 相似文献
4.
J. Mogyoródi 《Periodica Mathematica Hungarica》1977,8(3-4):275-279
5.
6.
7.
8.
In this paper, we prove a Chebyshev type inequality for fuzzy integrals. More precisely, we show that:where μ is the Lebesgue measure on and f,g:[0,1]→[0,∞) are two continuous and strictly monotone functions, both increasing or both decreasing. Also, some examples and applications are presented. 相似文献
9.
B.L.S. Prakasa Rao 《Statistics & probability letters》2010,80(11-12):1039-1042
We obtain a new generalization of Chebyshev’s inequality for random elements taking values in a separable Hilbert space. 相似文献
10.
We supply a Chebyshev type inequality for Choquet integral and link this inequality with comonotonicity. 相似文献
11.
V. I. Diskant 《Journal of Mathematical Sciences》1991,54(1):705-707
Translated from Ukrainskii Geometricheskii Sbornik, No. 31, pp. 56–59, 1988. 相似文献
12.
The Chebyshev type inequality for seminormed fuzzy integral is discussed. The main results of this paper generalize some previous results obtained by the authors. We also investigate the properties of semiconormed fuzzy integral, and a related inequality for this type of integral is obtained. 相似文献
13.
Bruno GirottoSilvano Holzer 《International Journal of Approximate Reasoning》2011,52(3):444-448
We supply a characterization of comonotonicity property by a Chebyshev type inequality for Sugeno integral. 相似文献
14.
N. V. Sokolov 《Ukrainian Mathematical Journal》2006,58(4):645-650
We prove two theorems on upper and lower bounds for probabilities in the multidimensional case. We generalize and improve
the Prokhorov multidimensional analog of the Chebyshev inequality and establish a multidimensional analog of the generalized
Kolmogorov probability estimate.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 4, pp. 573–576, April, 2006. 相似文献
15.
Charles B. Dunham 《Journal of Computational and Applied Mathematics》1984,11(2):139-143
The linear inequality method is an algorithm for discrete Chebyshev approximation by generalized rationals. Stability of the method with respect to uniform convergence is studied. Analytically, the method appears superior to all others in reliability. 相似文献
16.
17.
We obtain a new generalization of Chebyshev’s inequality for random vectors. Then we extend this result to random elements taking values in a separable Hilbert space. 相似文献
18.
Lawrence A. Harris 《Journal of Approximation Theory》2011,163(12):1806-1814
This note presents a Markov-type inequality for polynomials in two variables where the Chebyshev polynomials of the second kind in either one of the variables are extremal. We assume a bound on a polynomial at the set of even or odd Chebyshev nodes with the boundary nodes omitted and obtain bounds on its even or odd order directional derivatives in a critical direction. Previously, the author has given a corresponding inequality for Chebyshev polynomials of the first kind and has obtained the extension of V.A. Markov’s theorem to real normed linear spaces as an easy corollary.To prove our inequality we construct Lagrange polynomials for the new class of nodes we consider and give a corresponding Christoffel–Darboux formula. It is enough to determine the sign of the directional derivatives of the Lagrange polynomials. 相似文献
19.
The problem considered here is that of fitting a linear function to a set of points. The criterion normally used for this is least squares. We consider two alternatives, viz., least sum of absolute deviations (called the L1 criterion) and the least maximum absolute deviation (called the Chebyshev criterion). Each of these criteria give rise to a linear program. We develop some theoretical properties of the solutions and in the light of these, examine the suitability of these criteria for linear estimation. Some of the estimates obtained by using them are shown to be counter-intuitive. 相似文献
20.
Chebyshev’s inequality was recently extended to the multivariate case. In this paper we prove that the bounds in the multivariate Chebyshev’s inequality for random vectors can be attained in the limit. Hence, these bounds are the best possible bounds for this kind of regions. 相似文献