We study the change of variable formula from [9, 10] in the setting where X = (X1 t , . . . , X n t )t≥0 is a continuous Rn valued semimartingale of which the first n− 1 components are of bounded variation. Given two (or more) continuous surfaces b1, b2 : Rn−1 → R that could intersect, let F : Rn → R be a continuous function which is C1,...,1,2 at all points x ∈ Rn such that xn 6= b1(x1, . . . ...

We give upper bounds on the Walsh coefficients of functions for which the derivative of order at least one has bounded variation of fractional order. Further, we also consider the Walsh coefficients of functions in periodic and non-periodic reproducing kernel Hilbert spaces. A lower bound which shows that our results are best possible is also shown. Mathematical Subject Classification (2000): P...

We characterize distributions with respect to which the members of a Tchebychev set of polynomials are orthogonal when they satisfy differential equations with polynomial coefficients. As an application, we find a real weight of bounded variation with support in [0, oo) for Bessel polynomials.

Since this series is absolutely convergent everywhere in the plane, the terms \an\ must approach 0. Consequently, there exists for each a, an index n0 = n(a) ior which \an\ is a maximal coefficient. B. Lepson [2] raised the problem of characterizing entire functions for which n(a) is bounded. The latter are called functions of bounded index. In what follows, we shall give a partial solution to ...

The classical Herglotz theorem states that a sequence (ak) ∞ k=−∞ of complex numbers is the sequence of the Fourier-Stieltjes coefficients of a non-decreasing function g defined on the interval 〈0, 2π〉 if and only if the sequence (ak)k=−∞ is positive definite. Recall that ak = ∫ 2π 0 e dg(t) is said to be the kth FourierStieltjes coefficient of a function g (with bounded variation defined on th...

to study the stability and adaptability of grain yield and genotype ‎‏×‏‎ environment interaction, ‎‎19 promising triticale lines/varieties were evaluated in moghan, mashhad and zabol experimental ‎stations during 2001 to 2003 cropping seasons. the experimental design in all the locations and ‎years was completely randomized block design with three replications. combined analysis of ‎variance c...

This thesis examines and develops statistical methods for design and analysis with applications in immunoassay and other analytical techniques. In immunoassay, concentrations of components in clinical samples are measured using antibodies. The responses obtained are related to the concentrations in the samples. The relationship between response and concentration is established by fitting a cali...

In this study, a time-dependent 2D axisymmetric model of a multilayer hollow fiber composite membrane for gas separation is proposed. In spite of the common multilayer membranes, which a dense layer coated on a porous support layer and subjected into the feed stream, here, the porous support is exposed to the feed gas. In this regard, the governing equations of species transport are developed f...

The coefficient of variation is a dispersion measurement that does not depend on the unit scales, thus allowing the comparison of experimental results involving different variables. Its calculation is crucial for the adhesive experiments performed in laboratories because both precision and reliability can be verified. The aim of this study was to evaluate and to suggest a classification of the ...