منابع مشابه
Integral Inequalities on Time Scales via the Theory of Isotonic Linear Functionals
and Applied Analysis 3 Theorem 2.3 Jensen’s inequality 5, Theorem 2.2 . Let a, b ∈ T with a < b, and suppose I ⊂ R is an interval. Assume h ∈ Crd a, b ,R satisfies ∫b a |h t |Δt > 0. If Φ ∈ C I,R is convex and f ∈ Crd a, b , I , then Φ ⎛ ⎝ ∫b a |h t |f t Δt ∫b a |h t |Δt ⎞ ⎠ ≤ ∫b a |h t |Φ ( f t ) Δt ∫b a |h t |Δt . 2.3 In 6 , Özkan et al. proved that Theorem 2.3 is also true if we use the nabl...
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ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2012
ISSN: 0972-6802,1758-4965
DOI: 10.1155/2012/384045