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In this work, we introduce the concept of maximal m-convex (m cv) functions and we solve

+ 1)-convex functions and exponentially convex functions.

for the integral means of the derivatives of such functions and consider an example of a hyperbolically convex

computed the quantity kf(r) for some convex functions. These examples led them to the conjecture that kf (r

We consider positivity of sum Sigma(n)(i=1) p(i)f(x(i)) involving convex functions of higher order

convex functions

We prove that a real function is operator monotone (operator convex) if the corresponding

We consider positivity of sum (Formula Presented)) involving convex functionsof higher order

at the infinity and generalize univalent convex functions defined in the exterior of the unit disc. We prove sharp

for the integral means of the derivatives of such functions and consider an example of a hyperbolically convex

Страница 4 из 4234