Generalizations of a parameterized Jordan-type inequality, Janous’s inequality and Tsintsifas’s inequality

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.

Generalizations of Hölder’s Inequality

Some generalized Hölder’s inequalities for positive as well as negative exponents are obtained. 2000 Mathematics Subject Classification. 26D07, 26D15.

Generalizations of Popoviciu’s inequality

We establish a general criterion for inequalities of the kind convex combination of f (x1) , f (x2) , ..., f (xn) and f (some weighted mean of x1, x2, ..., xn) ≥ convex combination of f (some other weighted means of x1, x2, ..., xn) , where f is a convex function on an interval I ⊆ R containing the reals x1, x2, ..., xn, to hold. Here, the left hand side contains only one weighted mean, while t...

The Brunn-Minkowski-Type Inequality

The Generalizations of Hilbert's Inequality