On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications

In this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented. Using these equalities or lemmas along with several known identities, new inequalities for convex functions and the Atangana-Baleanu-Katugampola, fractional integral operators are proved. By making appropriate choices of parameters, some connections between our results and various other findings are also recognized in the paper. Finally, some applications to unique means for positive real numbers are offered.

کلیدواژه ها:

Ostrowski inequality ، convex function ، Atangana-Baleanu Katugampola fractional integral operator ، H\"{o}lder's inequality ، power-mean inequality ، Young's Inequality ، Special means ، estimations