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

Year 2017, Volume: 5 Issue: 2 , 146 - 159 , 15.10.2017

Necmettin Alp , Mehmet Zeki Sarıkaya

https://izlik.org/JA83EZ85AF

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

References

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