In the present paper, a new class of generalized $(s,m,\varphi)$-preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized $(s,m,\varphi)$-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized $(s,m,\varphi)$-preinvex functions that are twice differentiable via Riemann-Liouville fractional integrals are established. At the end, some applications to special means are given.
Hermite-Hadamard type inequality H\"{o}lder's inequality power mean inequality Riemann-Liouville fractional integral $s$-convex function in the second sense $m$-invex $P$-function
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Ekim 2017 |
Gönderilme Tarihi | 15 Ekim 2017 |
Kabul Tarihi | 12 Ekim 2017 |
Yayımlandığı Sayı | Yıl 2017 Cilt: 5 Sayı: 2 |