SOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVEM. EMIN OZDEMIR, ALPER EKINCI, AHMET OCAK AKDEMIR (pp. 212-224)
In this paper, we prove some new inequalities for the functions whose derivatives absolute values are convex and concave by dividing the interval [a; b] to n + 1 equal even subintervals. We obtain some new results involving intermediate values of derivatives function in [a; b] by using some classical inequalities like Hermite-Hadamard, Holder and Power-Mean.
Hilfer, Bessel, spectral theory, fractional, Sturm-Liouville.