Dergiler / Mathematical Sciences and Applications E-Notes / 2014 / Cilt: 2 - Sayı: 1

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

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

İMDAT İŞCAN

Sayfa
55–67
DOI
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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

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