A trapezoid type inequality for double integrals

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.

On the Ostrowski Type Integral Inequality for Double Integrals

A Generalised Trapezoid Type Inequality for Convex Functions

X iv :m at h/ 03 05 37 4v 1 [ m at h. N A ] 2 7 M ay 2 00 3 A GENERALISED TRAPEZOID TYPE INEQUALITY FOR CONVEX FUNCTIONS S.S. DRAGOMIR Abstract. A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH)−divergence measur...

A note on Jensen type inequality for Choquet integrals

The purpose of this paper is to prove a Jensen type inequality for Choquet integrals with respect to a non-additive measure which was introduced by Choquet [1] and Sugeno [20]; Φ((C) ∫ fdμ) ≤ (C) ∫ Φ(f)dμ, where f is Choquet integrable, Φ : [0,∞) −→ [0,∞) is convex, Φ(α) ≤ α for all α ∈ [0,∞) and μf (α) ≤ μΦ(f)(α) for all α ∈ [0,∞). Furthermore, we give some examples assuring both satisfaction ...

A Note on Gauss Type Inequality for Sugeno Integrals

In this note, we consider a similar type of Gauss inequality for fuzzy integrals. More precisely, we show that the inequality x(S) ∫ ∞