Strict superharmonicity of Mityuk’s function for countably connected domains of simple structure function of a point (we call it
Mityuk’
s function) is established for the subclass of countably connected
Generalized Reduced Module of a Domain Over the Unit Disc with Circular and Radial Slits with circular and radial slits. We show that if n ≥ 2, then
Mityuk’
s function, M(w) = −(2π)−1ln |f
Strict superharmonicity of Mityuk’s function for countably connected domains of simple structure function of a point (we call it
Mityuk’
s function) is established for the subclass of countably connected
On extrema of the Mityuk radius for doubly connected domainsWe study extrema of the
Mityuk radius depending on the choice of the canonical domain. Turning
Generalization of cyclic refinements of Jensen’s inequality by Fink’s identityWe generalize cyclic refinements of Jensen’
s inequality from a convex
function to a higher
Analogues to Landau’s Inequality for Nonvanishing Bounded Functions and for Bloch Functions with some famous inequalities for unimodular bounded
functions proved by E. Landau and O. Szász, we derive