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Generalizations of Szőkefalvi Nagy and Chebyshev inequalities with applications in spectral graph theory.
- Source :
-
Applied Mathematics & Computation . Nov2017, Vol. 313, p235-244. 10p. - Publication Year :
- 2017
-
Abstract
- Two weighted inequalities for real non-negative sequences are proven. The first one represents a generalization of the Szőkefalvi Nagy inequality for the variance, and the second a generalization of the discrete Chebyshev inequality for two real sequences. Then, the obtained inequalities are used to determine lower bounds for some degree-based topological indices of graphs. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 313
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 124046849
- Full Text :
- https://doi.org/10.1016/j.amc.2017.05.064