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.
Hermite-Hadamard's inequalities convex functions q-integrals
Konular | Mühendislik |
---|---|
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Ekim 2017 |
Gönderilme Tarihi | 6 Ekim 2017 |
Kabul Tarihi | 12 Ekim 2017 |
Yayımlandığı Sayı | Yıl 2017 Cilt: 5 Sayı: 2 |