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On the Analytic Part of Univalent Harmonic Mappings for | arg h′(z) | in the case when |z|≤1/2 and obtain the sharp radius of convexity for h. Our approach
Sherman's and related inequalities with applications in information theoryIn this paper we give extensions of Sherman's inequality considering the class of convex functions
On mappings related to the gradient of the conformal radiusWe establish a criterion for the gradient ∇R(D, z) of the conformal radius of a convex domain D
A geometric description of domains whose Hardy constant is equal to 1/4 geometric description of families of non-convex planar and spatial domains in which the following Hardy
Rellich type inequalities in domains of the Euclidean space inequalities for all non-convex domains of dimension d ≥ 2 provided that the domains satisfy the exterior
A minimization method with approximation of feasible set and epigraph of objective function© 2016, Allerton Press, Inc.For a convex programming problem we propose a solution method which
Sharp Hardy type inequalities with weights depending on bessel function these inequalities for the case of convex domains with a finite inner radius. The proved statements
Conformal radius: At the interface of traditions convex holomorphic function into the Gakhov class.
Classes of uniformly convex and uniformly starlike functions as dual setsIn this paper the classes of uniformly convex and uniformly starlike functions are presented
Estimation of different entropies via Abel–Gontscharoff Green functions and Fink's identity using Jensen type functionals are used to construct new inequalities and generalized them for m-convex function. © 2018 The Authors
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