Estimates of upper bound for differentiable functions associated with \(k\)-fractional integrals and higher order strongly \(s\)-convex functions
In this paper, the author derived and proved two new identities involving differentiable functions and \(k\)-Riemann Liouville integrals. Using these new identities, the authors derived estimates of the upper bound for functions whose first or second derivatives absolute values are higher order strongly \(s\)-convex functions. A special case \((k,s,\sigma)=(1,1,2)\) in the results obtained yield the estimates of the upper bound of the function for the classical Riemann-Liouville fractional integral and strongly convex functions.
scientific article; zbMATH DE number 7220562
scientific article