On the average distance property and certain energy integrals

The average distance property of classical Banach spaces II

A Banach space X has the average distance property (ADP) if there exists a unique real number r such that for each positive integer n and all x1, . . . , xn in the unit sphere of X there is some x in the unit sphere of X such that 1 n n ∑ k=1 ‖xk − x‖ = r. We show that lp does not have the average distance property if p > 2. This completes the study of the ADP for lp spaces.

On A Certain Class of Bessel Integrals

There are many old results of integrals involving Bessel functions, currently available in handbooks, but we found no recourse in the well-known references to how they were established. In this paper, we attempt to have a clear way of proving some of these results . In fact, we consider a certain class of Bessel integrals where we prove that such integrals vanish under certain conditions. To th...

On the Average Distance Property in Finite Dimensional Real Banach Spaces

On Approximating the Average Distance Between

supply and demand security of energy in central asia and the caucasus

امنیت انرژی به معنی عرضه مداوم و پایدار همراه با قیمت های معقول در حامل های انرژی، که تهدیدات امنیتی، سیاسی، اقتصادی، محیط زیستی و روانی را کاهش دهد. امروزه نفت و گاز تنها، کالای تجاری نیست بلکه بعنوان ابزار سیاسی مورد استفاده قرار می گیرد.اختلاف میان روسیه و اکراین بر سر انرژی در ژانویه 2006، تهدیدی برای امنیت انرژی اروپا ایجاد کرد. در این تحقیق ما تلاش کردیم که نقش انرژی آسیای میانه و قفقاز ر...