Abstract—We present a trigonometric scheme to approximate a circular arc with its two end points and two end tangents/unit tangents. A rational cubic trigonometric Bézier curve is constructed whose end control points are defined by the end points of the circular arc. Weight functions and the remaining control points of the cubic trigonometric Bézier curve are estimated by variational approach t...

In this paper, we consider an algorithm that efficiently evaluates a trigonometric polynomial at arbitrarily spaced nodes. It is based on the approximation of the polynomial by a function we can evaluate easily. We are particularly interested in the case where we interpolate the trigonometric polynomial using high-order cardinal interpolation kernels known as Z-splines, which we construct and s...

List of included articles [1] H. Rauhut. Random sampling of sparse trigonometric polynomials. Appl. Comput. [2] S. Kunis and H. Rauhut. Random sampling of sparse trigonometric polynomials II-orthogonal matching pursuit versus basis pursuit. [3] H. Rauhut. Stability results for random sampling of sparse trigonometric polynomi-als. [4] H. Rauhut. On the impossibility of uniform sparse reconstruct...

We will prove some inequalities among trigonometric quantities of two and three operators. In particular, we will establish an inequality among joint trigonometric quantities of two operators and trigonometric quantities of each operator. As a corollary, we will find an upper bound and a lower bound for the total joint antieigenvalue of two positive operators in terms of the smallest and larges...

in this paper, based on sinh-cosh method and sinh-gordon expansion method,families of solutions of (2+1)-dimensional breaking soliton equation are obtained.these solutions include jacobi elliptic function solution, soliton solution,trigonometric function solution.

Abstract. An optimal set of quadrature formulas with an odd number of nodes for trigonometric polynomials in Borges’ sense [Numer. Math. 67 (1994), 271–288], as well as trigonometric multiple orthogonal polynomials of semi-integer degree are defined and studied. The main properties of such a kind of orthogonality are proved. Also, an optimal set of quadrature rules is characterized by trigonome...

Although university EFL students represent a wide array of social and cultural identities, their multiple and diverse identities are not usually considered in foreign language classrooms. This qualitative case study attempted to examine identity conflicts experienced by Iranian EFL learners at the university context. To this end, two Shiraz University students' identities were investigated. Sem...