The result of M.A. Lavrentiev on the product conformal radii two non-overlapping simply connected domains has been generalized and strengthened. A method that allowed new estimates for products inner mutually to be obtained proposed.

The generalized conductance ϕ(G,H) between two weighted graphs G and H on the same vertex set V is defined as ratioϕ(G,H)=minS⊆V⁡capG(S,S¯)capH(S,S¯), where capG(S,S¯) total weight of edges crossing from S⊆V to S¯=V−S. We show that minimum eigenvalue λ(LG,LH) pair Laplacians LG LH satisfiesϕ(G,H)≥λ(LG,LH)≥ϕ(G,H)ϕ(G)/16, ϕ(G) standard G. A cut meets this bound can be obtained eigenvector corresp...

minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. also related inequalities to minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. several examples are given to illustrate the validity of theorems. some results on chebyshev and minkowski type inequalities are obtained.

We introduce continuously additive models, which can be motivated as extensions of additive regression models with vector predictors to the case of infinite-dimensional predictors. This approach provides a class of flexible functional nonlinear regression models, where random predictor curves are coupled with scalar responses. In continuously additive modeling, integrals taken over a smooth sur...

Introduction: Inequalities in urban environment are a significant concern. Socioeconomic level plays an important role in these inequalities. Inequality in environmental hazards is recognized as potential determinants of health disparities. Materials & Methods: In this study, we used individual and cumulative environmental hazard inequality indices to compare the inequality among 379 neighborh...

Let $C$ be a nonempty closed convex subset of a real Banach space $E$, let $B: C rightarrow E $ be a nonlinear map, and let  $u, v$ be  positive numbers. In this paper, we show  that  the generalized variational inequality $V I (C, B)$ is singleton for $(u, v)$-cocoercive mappings under appropriate assumptions on Banach spaces. The main results are extensions of the Saeidi's Propositions for fi...

A Transferable Utility (TU) game with n players specifies a vector of 2 − 1 real numbers, i.e. a number for each non-empty coalition, and this can be difficult to handle for large n. Therefore, several models from the literature focus on interaction situations which are characterized by a compact representation of a TU-game, and such that the worth of each coalition can be easily computed. Some...