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Superquadratic functions and refinements of some classical inequalities
Senka Banic,Josip Pecaric,Sanja Varosanec 대한수학회 2008 대한수학회지 Vol.45 No.2
Using known properties of superquadratic functions we obtain a sequence of inequalities for superquadratic functions such as the Converse and the Reverse Jensen type inequalities, the Giaccardi and the Petrovic type inequalities and Hermite-Hadamard’s inequalities. Especially, when the superquadratic function is convex at the same time, then we get refinements of classical known results for convex functions. Some other properties of superquadratic functions are also given. Using known properties of superquadratic functions we obtain a sequence of inequalities for superquadratic functions such as the Converse and the Reverse Jensen type inequalities, the Giaccardi and the Petrovic type inequalities and Hermite-Hadamard’s inequalities. Especially, when the superquadratic function is convex at the same time, then we get refinements of classical known results for convex functions. Some other properties of superquadratic functions are also given.
SUPERQUADRATIC FUNCTIONS AND REFINEMENTS OF SOME CLASSICAL INEQUALITIES
Banic, Senka,Pecaric, Josip,Varosanec, Sanja Korean Mathematical Society 2008 대한수학회지 Vol.45 No.2
Using known properties of superquadratic functions we obtain a sequence of inequalities for superquadratic functions such as the Converse and the Reverse Jensen type inequalities, the Giaccardi and the Petrovic type inequalities and Hermite-Hadamard's inequalities. Especially, when the superquadratic function is convex at the same time, then we get refinements of classical known results for convex functions. Some other properties of superquadratic functions are also given.
Kristina Peros,Senka Mestrovic,Sandra Anic-Milosevic,Kata Rosin-Grget,Mladen Slaj 대한치과교정학회 2012 대한치과교정학회지 Vol.42 No.5
Objective: To evaluate the antimicrobial effect of different frequencies of brushing with fluoride toothpaste on the levels of salivary mutans streptococci and lactobacilli in children undergoing fixed orthodontic treatment. Methods: The study included 22 patients scheduled for fixed orthodontic therapy distributed between 2 groups with different hygiene regimes. All the subjects received identical braces, bands, and brackets bonded with the same material. Stimulated saliva samples were obtained before placement of the appliance and at 6, 12, and 18 weeks during the therapy. Saliva samples were cultured on selective microbial agar for the detection of microorganisms. Results: Salivary mutans streptococci were significantly suppressed throughout the experimental period in the group that brushed 4 times a day as compared to the group that brushed twice a day. Salivary lactobacilli were not significantly affected by the frequency of brushing with 0.32% sodium fluoride (NaF) toothpaste. Conclusions: The use of 0.32% NaF-containing toothpaste more than 3 times a day has effective antimicrobial activity on mutans streptococci but not lactobacilli in the saliva of children with fixed orthodontic appliances.
Fatty Acid Profiles of Four Wild Mushrooms and Their Potential Benefits for Hypertension Treatment
Ibrahim Mujic,Zoran Zekovic,Senka Vidovic,Marija Radojkovic,Jelena Z ˇ ivkovic,Dejan GoCevac 한국식품영양과학회 2011 Journal of medicinal food Vol.14 No.11
Mushrooms are useful in balancing human diet and treating different health problems. The main determinant of the fluidity of erythrocyte membranes and rheologic properties of blood is the lipid composition of the membrane, which directly depends on lipids present in the diet. Lipid profiles of 4 European wild edible mushrooms, as well as the ability of mushroom lipids to modify the fluidity of erythrocyte membrane, were examined by using gas chromatography–mass spectometry, gas chromatography–flame ionization detector, and electron paramagnetic resonance spin probing technique. Lipids from 2 species—Macrolepiota procera and Collybia platyphylla—provoked an increase in erythrocyte membrane fluidity. Therefore, introduction of these and other wild mushrooms with similar lipid profiles to the human diet could be very beneficial in the treatment of hypertension and other cardiovascular diseases related to decreased fluidity of erythrocyte membranes.
Peros, Kristina,Mestrovic, Senka,Anic-Milosevic, Sandra,Rosin-Grget, Kata,Slaj, Mladen The Korean Association Of Orthodontists 2012 대한치과교정학회지 Vol.42 No.5
Objective: To evaluate the antimicrobial effect of different frequencies of brushing with fluoride toothpaste on the levels of salivary mutans streptococci and lactobacilli in children undergoing fixed orthodontic treatment. Methods: The study included 22 patients scheduled for fixed orthodontic therapy distributed between 2 groups with different hygiene regimes. All the subjects received identical braces, bands, and brackets bonded with the same material. Stimulated saliva samples were obtained before placement of the appliance and at 6, 12, and 18 weeks during the therapy. Saliva samples were cultured on selective microbial agar for the detection of microorganisms. Results: Salivary mutans streptococci were significantly suppressed throughout the experimental period in the group that brushed 4 times a day as compared to the group that brushed twice a day. Salivary lactobacilli were not significantly affected by the frequency of brushing with 0.32% sodium fluoride (NaF) toothpaste. Conclusions: The use of 0.32% NaF-containing toothpaste more than 3 times a day has effective antimicrobial activity on mutans streptococci but not lactobacilli in the saliva of children with fixed orthodontic appliances.