Some integral inequalities via fractional derivatives

Innovative Interpolating Polynomial Approach to Fractional Integral Inequalities and Real-World Implementations

“…By including the Green formula (ς 1 − ψ) for ς 1 ≤ ψ ≤ ς 2 and Equation (12), we can express it as follows:…”

“…Convex functions find utility across multiple domains within mathematical analysis and statistics; however, their role within inequality theory is of paramount significance. In this context, a plethora of classical and analytical inequalities have been established, most notably the Hermite-Hadamard, Ostrowski, Simpson, Fejer, and Hardy-type inequalities [11,12]. The extensive body of literature concerning integral inequalities for convex functions underscores the immense importance of this subject [13][14][15][16][17].…”