Sharp constant for L^p-L^∞ type Sobolev's inequality

Double Logarithmic Inequality with a Sharp Constant

We prove a Log Log inequality with a sharp constant. We also show that the constant in the Log estimate is “almost” sharp. These estimates are applied to prove a Moser-Trudinger type inequality for solutions of a 2D wave equation.

Double Logarithmic Inequality with a Sharp Constant

We prove a Log Log inequality with a sharp constant. We also show that the constant in the Log estimate is “almost” sharp. These estimates are applied to prove a Moser-Trudinger type inequality for solutions of a 2D wave equation.

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.

Extremal functions for the sharp L− Nash inequality

A Sharp Inequality of Ostrowski-grüss Type

The main purpose of this paper is to use a Grüss type inequality for RiemannStieltjes integrals to obtain a sharp integral inequality of Ostrowski-Grüss type for functions whose first derivative are functions of Lipschitizian type and precisely characterize the functions for which equality holds.