Erhan SET, Serkan KARATAŞ, İlker MUMCU

7596

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

− 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 |f0(x)| ≤ M for all x ∈ [a, b], then the following inequalityholds:¯ ¯ ¯f (x) −¯ ¯ b − a Z b a f (t)dt¯≤ M (b − a)¯ ¯ ¯ ¯ " + ¡ x −a+b(b − a)2¢2# (1)
Keywords:

− (α m)−convex function, Ostrowski inequality, Fuzzy Riemann integral,

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Journal of New Theory-Cover
  • Yayın Aralığı: 4
  • Başlangıç: 2014
  • Yayıncı: Naim Çağman
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