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.

octogenarian

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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