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Further Results on Chebyshev and Steffensen Inequalities
Dahmani, Zoubir,Bounoua, Mohamed Doubbi Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.1
By making use of the Riemann-Liouville fractional integrals, we establish further results on Chebyshev inequality. Other Steffensen integral results of the weighted Chebyshev functional are also proved. Some classical results of the paper:[ Steffensen's generalization of Chebyshev inequality. J. Math. Inequal., 9(1), (2015).] can be deduced as some special cases.
Effects of temperature on the evolution of stresses at the stem cement interface
Kaci, Djafar Ait,Moulgada, Abdelmadjid,Achache, Habib,Bounoua, Noureddine Techno-Press 2019 Advances in computational design Vol.4 No.3
The insertion of femoral implants is the most important phase for surgeons, given the characteristics of the cement during its mixing phase, generating residual stresses of thermal origin that increase the different stresses induced in the bone cement. The aim of our study is to determine the different stresses that affect the cement and more particularly at the cement-implant interface for different temperatures, and to make a comparison with the cement at ambient temperature. It was concluded that, there are a large concentration of stresses in the proximal part of the cement. For normal stresses, the bone cement is affected by stresses of tension and compression due to the effect of polymerization and the contraction of the cement.