- Mathematical Sciences and Applications E-Notes
- Volume:2 Issue:1
- ON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIAFRACTIONAL INTEG...
ON GENERALIZATION OF DIFFERENT TYPE INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS VIAFRACTIONAL INTEGRALS
Authors : İMDAT İŞCAN
Pages : 55-67
Doi:10.36753/mathenot.207633
View : 37 | Download : 8
Publication Date : 2014-06-01
Article Type : Research Paper
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 senseKeywords : Hermite Hadamard inequality, Riemann Liouville fractional integral, Ostrowski inequality, Simpson type inequality, s convex function
ORIGINAL ARTICLE URL