Titlebook: Contributions in Mathematics and Engineering; In Honor of Constant Panos M. Pardalos,Themistocles M. Rassias Book 2016 Springer Internation

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The Informational Role of Volume,st each one separately. We provide a theorem that decomposes the problem into the best .. monotonic approximation (case . = 1) problems to disjoint sets of adjacent data. The decomposition allows the development of a dynamic programming procedure that provides a highly efficient calculation of the solution.

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Hauptthema: Experimentelle Urologie theoretical estimation 5. 18. The next-order (constant) term in the high-concentration regime is calculated for the first time, and the best estimate is equal to − 6. 229. The final formula is derived for the effective conductivity for arbitrary volume fraction.

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https://doi.org/10.1007/978-3-642-46412-6 of ., and . is a finite .-invariant complex measure, and we obtain also the Hyers–Ulam–Rassias stability of the generalized cosine-sine functional equation: . where . is amenable, . is an involution of ..

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Erhard Rahm,Gunter Saake,Kai-Uwe Sattler also .-quasiconvex as well as superquadratic. We show in which cases the refinements by .-quasiconvex functions are better than those obtained by superquadratic functions and convex functions. The power functions defined on . ≥ 0 where the power is greater or equal to two are examples of convex, quasiconvex, and superquadratic functions.

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Erhard Rahm,Gunter Saake,Kai-Uwe Sattlerequalities. By developing particular geometric properties of the manifold as well as of the solid torus, we can calculate the precise values of the best constants in the presented Sobolev-type inequalities. We apply these results to solve nonlinear elliptic, type Dirichlet and Neumann, PDEs of upper critical Sobolev exponent.

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