ON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIAFRACTIONAL INTEGRALS

Authors : Imdat Işcan

Pages : 55-67

Doi:10.36753/mathenot.207633

View : 20 | Download : 10

Publication Date : 2014-06-01

Article Type : Other

Abstract :In this paper, a new general identity for differentiable mappingsvia Riemann-Liouville fractional integrals has been defined. By using of thisidentity, author has obtained new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives inabsolutely value at certain powers are s-convex in the second sense
Keywords : Hermite-Hadamard inequality, Riemann-Liouville fractional integral, Ostrowski inequality, Simpson type inequality, s-convex function