Convex-like inequality, homogeneity, subadditivity, and a characterization of $L^p$-norm

A NORM INEQUALITY FOR CHEBYSHEV CENTRES

In this paper, we study the Chebyshev centres of bounded subsets of normed spaces and obtain a norm inequality for relative centres. In particular, we prove that if T is a remotal subset of an inner product space H, and F is a star-shaped set at a relative Chebyshev centre c of T with respect to F, then llx - qT (x)1I2 2 Ilx-cll2 + Ilc-qT (c) 112 x E F, where qT : F + T is any choice functi...

Convexity, Subadditivity and Generalized Jensen’s Inequality

In this paper we extend some theorems published lately on the relationship between convexity/concavity, and subadditivity/superadditivity. We also generalize inequalities of compound functions that refine Minkowski inequality.

Explicit ABS Solution of a Class of Linear Inequality Systems and LP Problems

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

synthesis and characterization of some macrocyclic schiff bases

ماکروسیکلهای شیف باز از اهمیت زیادی در شیمی آلی و دارویی برخوردار می باشند. این ماکروسیکلها با دارابودن گروه های مناسب در مکانهای مناسب می توانند فلزاتی مثل مس، نیکل و ... را در حفره های خود به دام انداخته، کمپلکسهای پایدار تولید نمایند. در این پایان نامه ابتدا یک دی آلدئید آروماتیک از گلیسیرین تهیه می شود و در مرحله بعدی واکنش با دی آمینهای آروماتیک و یا آلیفاتیک در رقتهای بسیار زیاد منجر به ت...