On Parameterized Simpson, Midpoint and Trapezoid Type Inequalities for Differentiable$ left( eta _{1},eta _{2}right) -$Convex Functions via Generalized Fractional Integrals

Authors : Seda KILINÇ YILDIRIM, Hüseyin BUDAK, Hüseyin YILDIRIM

Pages : 356-370

View : 41 | Download : 11

Publication Date : 2021-10-15

Article Type : Research Paper

Abstract :In this paper, we first obtain an identity for differentiable mappings. Then we establish some new generalized inequalities for differentiable $\leftinsert ignore into journalissuearticles values( \eta _{1},\eta _{2}\right); -$ convex functions involving some parameters and generalized fractional integrals. We show that these results reduces to several new Simpson, midpoint and trapezoid type inequalities. Some special cases are also discussed.
Keywords : simpson`s 1 3 formula, Integral inequalities, fractional calculus, convex functions

ORIGINAL ARTICLE URL