An Improved Laguerre-Samuelson Inequality of Chebyshev-Markov Type
نویسندگان
چکیده
منابع مشابه
Results of the Chebyshev type inequality for Pseudo-integral
In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results to the case of comonotone functions.
متن کاملresults of the chebyshev type inequality for pseudo-integral
in this paper, some results of the chebyshev type integral inequality for the pseudo-integral are proven. the obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. finally, we applied our results to the case of comonotone functions.
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Equivalent conditions are given for the nonnegativity of the coefficients of both the Chebyshev expansions and inversions of the first n polynomials defined by a certain recursion relation. Consequences include sufficient conditions for the coefficients to be positive, bounds on the derivatives of the polynomials, and rates of uniform convergence for the polynomial expansions of power series.
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Article history: Received 1 January 2012 Received in revised form 10 July 2012 Accepted 18 February 2013 Available online 26 February 2013
متن کاملResults of the Chebyshev Type Inequality for Pseudo-integral
In this paper, some results of the Chebyshev type integral inequality for the pseudo-integral are proven. The obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. Finally, we applied our results to the case of comonotone functions.
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ژورنال
عنوان ژورنال: Journal of Optimization
سال: 2014
ISSN: 2356-752X,2314-6486
DOI: 10.1155/2014/832123