by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...

In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.

In this paper, the class of harmonic functions f = h+ ḡ with positive real part and normalized by f(ζ) = 1, (|ζ| < 1) is studied, where h and g are analytic in U = {z : |z| < 1}. Some properties of this class are searched. Sharp coefficient relations are given for functions in this class. On the other hand, the author make use of Alexander integral transforms of certain analytic functions (whic...

an important step in considering of gene expression data is obtained groups of genes that have similarity patterns. biclustering methods was recently introduced for discovering subsets of genes that have coherent values across a subset of conditions. the las algorithm relies on a heuristic randomized search to find biclusters. in this paper, we introduce biclustering las algorithm and then appl...

Let C be a real-valued function defined on the set 9& of all positive definite complex hermitian or real symmetric matrices according as F = C (the complex field) or F = R (the real field). Suppose A, B E 9&. We study the optimization problems of (1) finding max C(X) subject to A X, B X positive semidefinite, (2) finding minG(X) subject to X A, X B positive semidefinite. For a general class of ...

Thermodynamic stable interaction pair potentials which are not of the form “positive function + real continuous function of positive type” are presented in dimension one. Construction of such a potential in dimension two is sketched. These constructions use only elementary calculations. The mathematical background is discussed separately. PACS numbers: 05.20.-y, 02.20.-a, 02.40.Ft

this paper investigates the effect of exchange rate uncertainty on the iran’s import trade. the exchange rate ‎uncertainty series were generated utilizing the tarch model. this model analyzes the asymmetric effects. the analysis of uncertainty and asymmetry ‎of the exchange rate shows significant tarch ‎effect on iran’s exchange rates‎. the findings of the study indicate negative shocks (bad ne...

In this paper we present an overview of the implications of our previously derived results for positive definite kernels on the general theory of positive definite functions. We begin by exploring the consequences of a set of differential inequalities on the global behaviour of a smooth positive definite function of one real variable. Then we propose a natural extension of this study to the com...