1. Inequalities of the Chebyshev type based on pseudo-integrals.
- Author
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Grbić, Tatjana, Medić, Slavica, Perović, Aleksandar, Paskota, Mira, and Buhmiler, Sandra
- Subjects
- *
MATHEMATICAL inequalities , *CHEBYSHEV approximation , *CORNERSTONE laying , *NUMERICAL analysis , *POLYNOMIALS , *GENERALIZATION - Abstract
This paper presents the Chebyshev type of pseudo-integral inequalities, with the particular emphasis on the g -semirings. With the suitable choice of the generator g , the pseudo-expectation and pseudo-moments exist for the Cauchy distribution (in general case the standard expectation and moments for the Cauchy distribution are not defined). The computation of the pseudo-expectation for the Cauchy distribution and some examples that illustrate the applicability of the introduced generalization are also given in the paper. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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