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 appearance in print of the present volume of the “Subcellular Biochemistry” Series entitled “Creatine and Creatine Kinase in Health and Disease”, edited by Gajja S. Salomons and Markus Wyss, seems entirely timely. The importance and physiological significance of creatine kinase (CK) as well as the pleiotropic effects of creatine (Cr) and phosphocreatine (PCr) in health and disease have been...

Given a directed graph G = (V,E) and an integer k ≥ 1, a ktransitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V,EH) that has (1) the same transitive-closure as G and (2) diameter at most k. Transitive-closure spanners are a common abstraction for applications in access control, property testing and data structures. We show a connection between 2-TC-spanners and local monoton...

PEGylation is a successful approach to improve potency of a therapeutic protein. The improved therapeutic potency is mainly due to the steric shielding effect of PEG. However, the underlying mechanism of this effect on the protein is not well understood, especially on the protein interaction with its high molecular weight substrate or receptor. Here, experimental study and molecular dynamics si...

We show that there exists a Boolean function F which gives the following separations among deterministic query complexity (D(F )), randomized zero error query complexity (R0(F )) and randomized one-sided error query complexity (R1(F )): R1(F ) = Õ( √ D(F )) and R0(F ) = Õ(D(F ))3/4. This refutes the conjecture made by Saks and Wigderson that for any Boolean function f , R0(f) = Ω(D(f))0.753... ...

The Kahn--Saks inequality is a classical result on the number of linear extensions finite posets. We give new proof this for posets width two using explicit injections lattice paths. As consequence we obtain $q$-analogue, multivariate generalization and an equality condition in case. also discuss conditions general prove several implications between conjectured to be equivalent.