FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS

Authors : Erhan SET, Serkan KARATAŞ, İlker MUMCU

Pages : 54-65

View : 22 | Download : 9

Publication Date : 2015-07-01

Article Type : Research Paper

Abstract :− Let f : I → R, where I ⊆ R is an interval, be a mapping differentiable in the interiorI◦of I, and let a, b ∈ I◦with a < b. If |f0insert ignore into journalissuearticles values(x);| ≤ M for all x ∈ [a, b], then the following inequalityholds:¯ ¯ ¯f insert ignore into journalissuearticles values(x); −¯ ¯ b − a Z b a f insert ignore into journalissuearticles values(t);dt¯≤ M insert ignore into journalissuearticles values(b − a);¯ ¯ ¯ ¯ ` + ¡ x −a+binsert ignore into journalissuearticles values(b − a);2¢2# insert ignore into journalissuearticles values(1);
Keywords : α, m, convex function, Ostrowski inequality, Fuzzy Riemann integral