A NEW DEFINITION AND PROPERTIES OF QUANTUM INTEGRAL WHICH CALLS $\overline{q}$-INTEGRAL

Authors : Necmettin Alp, Mehmet Zeki Sarikaya

Pages : 146-159

View : 32 | Download : 18

Publication Date : 2017-10-15

Article Type : Research

Abstract :In this paper, we present a new definition of $q$-integral by using trapezoid pieces and we name second sense $q$-integral which is showed $ \overline{q}$-integral and we give some results and properties of $\overline{ q}$-integral. Finaly, we establish some new $\overline{q}$-Hermite-Hadamard type inequalities for convex functions.
Keywords : Hermite-Hadamard's inequalities, convex functions, q-integrals