Generalized Steffensen's inequality by Fink's Identity related to Steffensen's inequality. Under the assumptions of
n-convexity and
n-concavity, we give new
Hardy-Type Inequalities for an Extension of the Riemann-Liouville Fractional Derivative Operators and monotone
convex functions. Furthermore, mean value theorems and
n-exponential convexity of the related
A Method of Local Convex Majorants for Solving Variational-Like InequalitiesA Method of Local
Convex Majorants for Solving Variational-Like Inequalities
Radii of convexity and close-to-convexity of certain integral representations s(z)=anzn+an+1zn+1+... (
n1) regular in |z|<1 and satisfying the condition |u (θ1) -u (θ2) |≤K| θ1-θ2
The investigation of high-level excursions of Gaussian fields: a fresh approach involving convexityThe investigation of high-level excursions of Gaussian fields: a fresh approach involving
convexity To the theory of operator monotone and operator convex functionsWe prove that a real function is operator monotone (operator
convex) if the corresponding
On the Coefficients of Quasiconformality for Convex FunctionsLet f be holomorpic and univalent in the unit disc E and f(E) be
convex. We consider the conformal
Estimates for integral means of hyperbolically convex functionsWe prove the Mejia-Pommerenke conjecture that the Taylor coefficients of hyperbolically
convex