This work presents a generalization of the functions used in Fraeijs de Veubeke's quadrilateral (FVQ) element and Hsieh, Clough Tocher's (HCT) triangle, allowing for an arbitrary degree approximation, d $$ , order continuity, r . These can be to define finite elements that lead by direct assembly C {C}^r approximations. Their determination each is procedural, generalizing reasoning Zienkiewicz ...

Our main purpose of this article is to study the convergence and other related properties q-Bernstein-Kantorovich operators including shifted knots real positive numbers. We design Bernstein-Kantorovich generated by basic q-calculus. More precisely, we our new in space continuous functions Lebesgue space. obtain degree with help modulus continuity integral continuity. Furthermore, establish qua...

We use the matrices of transformations between Chebyshev and Bernstein basis and the matrices of degree elevation and reduction of Chebyshev polynomials to present a simple and efficient method for r times degree elevation and optimal r times degree reduction of Bézier curves with respect to the weighted L2-norm for the interval [0,1], using the weight function wðxÞ 1⁄4 1= ffiffiffiffiffiffiffi...

Real-valued functions of a real variable which are continuous with respect to the density topology on both the domain and the range are called density continuous. A typical continuous function is nowhere density continuous. The same is true of a typical homeomorphism of the real line. A subset of the real line is the set of points of discontinuity of a density continuous function if and only if...

This paper deals with simple portal or gable steel frames with varying moment of inertia. Critical load for such frames is calculated by means of a very simple and approximate method through which the variation of moment of inertia for the members is considered by a quadratic function and then the equilibrium and continuity conditions have been used. The degree of precision of this method has b...

Peripheral nerve transection and neuroma-in-continuity injuries are associated with permanent functional deficits, often despite successful end-organ reinnervation. Axonal misdirection with non-specific reinnervation, frustrated regeneration and axonal attrition are believed to be among the anatomical substrates that underlie the poor functional recovery associated with these devastating injuri...

UNLABELLED The aim of the study was to evaluate the surgical treatment results of cases of perinatal brachial plexus palsy with presence of neuroma-in-continuity. Clinical material included 21 children, aged from 3.5 to 36 months, treated surgically between 1996 and 2005. The control examination included 19 children. The shortest postoperative observation period was 4 years. After surgical trea...

We provide su cient conditions for the Bernstein-B ezier (BB) form of an implicitly de ned bivariate polynomial over a triangle, such that the zero contour of the polynomial de nes a smooth and single sheeted real algebraic curve segment. We call a piecewise G-continuous chain of such real algebraic curve segments in BB-form as an A-spline (short for algebraic spline). We prove that the degree ...