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

Authors : Necmettin ALP, Mehmet Zeki SARIKAYA

Pages : 146-159

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Publication Date : 2017-10-15

Article Type : Research Paper

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