fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order.the purpose of this work is to use hadamard fractional integral to establish some new integral inequalities of gruss type by using one or two parameters which ensues four main results . furthermore, other integral inequalities of reverse m...

consider search designs for searching one nonzero 2- or 3-factor interaction under the search linear model. in the noisy case, search probability is given by shirakura et al. (ann. statist. 24(6) (1996) 2560). in this paper some new properties of the searching probability are presented. new properties of the search probability enable us to compare designs, which depend on an unknown parameter ?...

this article deals with some social aspects of scientometry. although scientometry and isi -one of the scientometry evaluative standards- are something necessary for scientific measurement, they are not without defects. in this regard, the author argues that there are two significant points among criticism. these points are supposed to be external and internal. the external point is highly affe...

Let G be a semisimple, simply connected algebraic group defined over an algebraically closed field k of positive characteristic p. Assume that p is larger than the Coxeter number of G and that the Lusztig character formula holds for regular restricted dominant weights. In this paper, we introduce two new highest weight categories C even and C reg odd , both full subcategories of the category C ...

We define some new kinds of pseudoprimes to several bases, which generalize strong pseudoprimes. We call them Sylow p-pseudoprimes and elementary Abelian p-pseudoprimes. It turns out that every n < 1012, which is a strong pseudoprime to bases 2, 3 and 5, is not a Sylow p-pseudoprime to two of these bases for an appropriate prime p|n− 1. We also give examples of strong pseudoprimes to many bases...

Let (R, μ) be a nonatomic finite measure space and E = Lr(R, μ) a Lebesgue space over R. Then we consider tempered distributions f and g (depending on x ∈ Rn and v ∈ R), for which divx(af) = g in S′(Rn, E). Here a : R −→ Rn is a bounded function of v (a velocity field) satisfying a nondegeneracy condition. We study the regularity of the average f̄ = R R f(·, v)ψ(v) dμ(v) ∈ S′(Rn) (with ψ ∈ Lr (R...

The £-algorithm is a general extrapolation method which includes most of the sequence transformations actually known. Some new convergence acceleration methods are derived from the f-algorithm by applying the so-called (^-procedure. The algorithms thus obtained are studied. Some theoretical results are proved and numerical examples are given.