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
Exact penalties for decomposable convex optimization problemsWe consider a general decomposable
convex optimization problem. By using right-hand side allocation