Marcellan, F. and E. Godoy, Orthogonal polynomials on the unit circle: distribution of zeros, Journal of Computational and Applied Mathematics 37 (1991) 195-208. In this paper we summarize some results concerning zeros of orthogonal polynomials with respect to an indefinite inner product. We analyze the inverse problem, i.e., a discrete representation for the functional in terms of the n th ort...

The task of image classification has been studied in many ways using variety of features like shape, color, geometric, robust and etc. but the classification process uses only the features contained in more volume in a region but missing the features distributed throughout the image. We propose a new approach for image classification, using orthogonal feature distribution matrix. The orthogonal...

A (symmetric) nested orthogonal array is a symmetric orthogonal array OA(N, k, s, g) which contains an OA(M,k, r, g) as a subarray, where M < N and r < s. In this communication, some methods of construction of nested symmetric orthogonal arrays are given. Asymmetric nested orthogonal arrays are defined and a few methods of their construction are described.

Let g be a normalized arithmetic function. We define polynomials Qng(x)=x∑k=1ng(k)Qn−kg(x),Q0g(x)≔1.It is known that the case g=id involves Chebyshev of second kind Qnid(x)=xUn−1(x2+1). In this paper we study zero distribution non-orthogonal associated with sn=n2. show zeros Qns(x) are real, simple, and located in (−63,0]. Nn(a,b) number between −63≤a<b≤0. Then determine density function v(x), ...

The concept of a linear ordered orthogonal array is introduced, and its equivalent geometrical configuration is determined when its strength is 3 and 4. Existence of such geometrical configurations is investigated. They are also useful in the study of (T, M, S)-nets.

a comparison of buckling analysis of the nanoplate and nanocomposite plate with central square hole embedded in winkler foundation is presented in this article. in order to enhance mechanical properties of nanoplate with central cut out, carbon nano tubes (cnts) are applied as uniform distribution (ud) through thickness direction. in order to define the shape function of plate with square cut o...