In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, degree L , M -fuzzy concavity is introduced and characterized as generalization id="M2"> -concave structure id="M3"> conca...

Abstract In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in velocity, and acoustic boundary conditions. Due to damping term, cannot apply concavity method introduced by Levine. Thus, use energy show that solution negative initial blows up after finite time. Furthermore, investigate upper lower bounds of

Abstract Let ${\overline{p}}(n)$ denote the overpartition function. In this paper, we study asymptotic higher-order log-concavity property of function in a similar framework done by Hou and Zhang for partition This will enable us to move on further order prove overpartitions, explicitly studying expansion quotient ${\overline{p}}(n-1){\overline{p}}(n+1)/{\overline{p}}(n)^2$ up certain order. en...

Sensitivity to shape changes was measured, in particular detection of convexity and concavity changes. The available data are contradictory. The author used a change detection task and simple polygons to systematically manipulate convexity/concavity. Performance was high for detecting a change of sign (a new concave vertex along a convex contour or a new convex vertex along a concave contour). ...

This paper studies the projected saddle-point dynamics associated to a convex-concave function, which we term saddle function. The dynamics consists of gradient descent of the saddle function in variables corresponding to convexity and (projected) gradient ascent in variables corresponding to concavity. We examine the role that the local and/or global nature of the convexity-concavity propertie...

We prove log-concavity of exit probabilities lattice random walks in certain planar regions.

Let $C_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{D}$. Each function $f in C_{0}(alpha)$ maps the unit disk $mathbb{D}$ onto the complement of an unbounded convex set. In this paper, we study the mapping properties of this class under integral operators.