Weighted averages of n-convex functions via extension of Montgomery’s identity and related inequalities for weighted averages of n-
convex functions, i.e. the sum ∑i=1mρih
On convexity and compactness of operator ``intervals'' on Hilbert space'' are investigated.
We prove that a von Neumann algebra $M$ is Abelian if and only if
$L_X$ is
convex for all $X
Hardy-Type Inequalities for an Extension of the Riemann-Liouville Fractional Derivative Operators-Liouville fractional derivative and modified extension of Riemann-Liouville fractional derivative using
convex Generalized Steffensen’s inequality by Montgomery identity assist in developing connections with Steffensen’s inequality. Under the assumptions of n-
convexity and n
Several new cyclic Jensen type inequalities and their applications of obtaining new generalizations of cyclic refinements of Jensen’s inequality from
convex to higher order
Necessary optimality conditions without a priori normality assumptions, in which C is a
convex closed cone, is the
problem of optimal control with pulse controls.