Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.

Recently, we have used the symmetric bracket of vector fields, and developed the notion of the symmetric derivation. Using this machinery, we have defined the concept of symmetric curvature. This concept is natural and is related to the notions divergence and Laplacian of vector fields. This concept is also related to the derivations on the algebra of symmetric forms which has been discu...

russia and iran, one with european background and slavic racial origins with the other one being of asian descent with non-slavic racial origins, are playing their roles in building regional and international order according to their respective capacities, capabilities. geopolitical and geostrategic developments and differences in proclaimed and practical approaches have historically changed th...

changes of hydrodynamic parameters in microchannel branches affect the suspended biological samples in blood. to prevent denaturation and hemolysis, we have numerically investigated the effect of divergence angle on shear rate and velocity at branch entrance (discharge rate), under electroosmotic flow. in such flow, hydrodynamic properties are also affected by zeta potential at the microchannel...

Rényi divergence is related to Rényi entropy much like Kullback-Leibler divergence is related to Shannon’s entropy, and comes up in many settings. It was introduced by Rényi as a measure of information that satisfies almost the same axioms as Kullback-Leibler divergence, and depends on a parameter that is called its order. In particular, the Rényi divergence of order 1 equals the Kullback-Leibl...