In summability theory, de la Vallée-Poussin’s mean is first used to define the (V, λ)-summability by Leindler [9]. Malkowsky and Savaş [14] introduced and studied some sequence spaces which arise from the notion of generalized de la ValléePoussin mean. Also the (V, λ)-summable sequence spaces have been studied by many authors including [6] and [20]. Recently, there has been a lot of interest in...

The ball hull mapping β associates with each closed bounded convex setK in a Banach space its ball hull β(K), defined as the intersection of all closed balls containing K. We are concerned in this paper with continuity and Lipschitz continuity (with respect to the Hausdorff metric) of the ball hull mapping. It is proved that β is a Lipschitz map in finite dimensional polyhedral spaces. Both pro...

Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T : K → E be an asymptotically nonexpansive mapping with {kn} ⊂ [1,∞) such that ∑∞ n=1(kn − 1) <∞ and F(T) is nonempty, where F(T) denotes the fixed points set of T . Let {αn}, {α′n}, and {α′′ n } be real sequences in (0,1) and ≤ αn,α′n,α′′ n ≤ 1− for all...

Tilted brane in theories with large compact extra dimensions leads to spontaneous symmetry breaking of the Lorentz and rotational invariance in four dimensions, as shown by Dvali and Shifman. In this brief report, we point out that the mentioned Lorentz symmetry breaking, although leading to the CPT–violating interaction terms, cannot lead to the CPT violation in the experimentally interesting ...

(7) Cohen, P. (1979) The role of calmodulin and troponin in the regulation of phosphorylase kinase from rabbit skeletal muscle, in Calcium-Binding Proteins as Cellular Regulators (Cheung, W. Y., (8) Cohen, P., Klee, C. B., Picton, P. & Shenolikar, S. (1980) Calcium control of muscle phosphorylase kinase through the combined action of calmodulin and troponin. Ann. N.Y. Acad. Sci. 356. ed.), pp. ...

The curvature of a polytope, deflned as the largest possible total curvature of the associated central path, can be regarded as the continuous analogue of its diameter. We prove the analogue of the result of Klee and Walkup. Namely, we show that if the order of the curvature is less than the dimension d for all polytope deflned by 2d inequalities and for all d, then the order of the curvature i...

In 1973, Victor Klee posed the problem of determining the minimum number of guards sufficient to cover the interior of an n-wall art gallery room (Honsberger 1976). He posed this question extemporaneously in response to a request from Vasek Chvatal (at a conference at Stanford in August) for an interesting geometric problem, and Chvatal soon established what has become known as "Chvatal's Art G...

Perhaps the most important point to make about Robert Klee’s recent Introduction to the Philosophy of Science: Cutting Nature at its Seams is that we need many more books like it: it is an engaging, accessible and comprehensive introductory text in the philosophy of science which manages to avoid sailing over the head of the beginner philosophy student without talking down to the working profes...

The problems of circumscribing and inscribing convex polygons with, respectively, minimum and maximum area k-gons have been studied extensively in the recent past because of their applications to robotics and collision avoidance problems [CY, DA]. In particular, Klee and Laskowski [KL] have given an O(n log%) algorithm for finding all local minima (with respect to area) among the triangles that...

To whom correspondence should be addressed: Keesook Lee, Ph.D., Hormone Research Center, Chonnam National University, Gwangju, 500-757, Republic of Korea. Phone: +82-62-530-0509; Fax: +82-62-530-0500; E mail: [email protected]. Won-Jea Cho, Ph.D., College of Pharmacy, Chonnam National University, Gwangju 500-757, Republic of Korea. Phone: +82-62-530-2933; Fax: +82-62-530-2911; E mail: wjcho@ch...