Novel integral inequalities derived for twice-differentiable functions using the proportional Caputo-hybrid operator, indicating significant advancements in integral inequality theory.
Key Points
The aim is to propose new integral inequalities for twice-differentiable convex functions using the proportional Caputo-hybrid operator.
Proposed an integral identity for twice-differentiable convex mappings
Derived integral inequalities associated with the proportional Caputo-hybrid operator
Established Newton-type inequalities for mappings of bounded variation
Introduced new integral inequalities that extend previous findings
Demonstrated that these inequalities are relevant for the field of fractional calculus
Provided a pioneering direction for future research in integral inequalities