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On Shannon and Zipf–Mandelbrot entropies and related results construct new family of exponentially convex functions and Cauchy-type means. © 2019, The Author(s).
Geometric Properties of Integral Representations in the Inverse Problem of a Simple Layer Potential demonstrative convexity criterion as a bounded domain on the complex plane: belonging of a pair
Sobolev extension operators and Neumann eigenvalues estimates of of the first nontrivial Neumann eigenvalue of the Laplace operator in non-convex extension
Hardy-type inequalities in arbitrary domains with finite inner radius is sharp of the L1-inequalities in one-dimensional and multidimensional cases for convex domains. © 2014
Existence of solutions of anisotropic elliptic equations with nonpolynomial nonlinearities in unbounded domains of convex functions. The solvability of the Dirichlet problem in unbounded domains Ω C ℝn, n ≥ 2
On Dirichlet-type problems for the Lavrentev-Bitsadze equation with Dirichlet data for the Lavrent’ev-Bitsadze equation in a mixed domain. A general mixed problem (according
On e-subgradient methods of non-differentiable optimizationOn e-subgradient methods of non-differentiable optimization
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
Sharp Hardy-type inequalities with Lamb's constantsLet Ω be an n-dimensional convex domain with finite inradius δ 0 = sup xεΩ δ, where δ = dist
Rotations of convex harmonic univalent mappings© 2019 Let f=h+g‾ be a normalized and sense-preserving convex harmonic mapping in the unit disk D
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