Contents V.10, N.2, 2019

  • SOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVE
    M. EMIN OZDEMIR, ALPER EKINCI, AHMET OCAK AKDEMIR (pp. 212-224)

    • Abstract.

    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.

    Keywords:

    Hilfer, Bessel, spectral theory, fractional, Sturm-Liouville.

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