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Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree
(Elsevier Science Inc, New York, 2012)
Orthogonal systems of trigonometric polynomials of semi-integer degree with respect to a weight function w(x) on (0, 2 pi) have been considered firstly by Turetzkii [A.H. Turetzkii, On quadrature formulae that are exact ...
Gaussian interval quadrature rule for exponential weights
(Elsevier Science Inc, New York, 2012)
Interval quadrature formulae of Gaussian type on R and R+ for exponential weight functions of the form w(x) = exp(-Q(x)), where Q is a continuous function on its domain and such that all algebraic polynomials are integrable ...
Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions
(Elsevier Science Inc, New York, 2012)
We continue with the study of the kernels K-n(z) in the remainder terms R-n(f) of the Gaussian quadrature formulae for analytic functions f inside elliptical contours with foci at -/+ 1 and a sum of semi-axes rho > 1. The ...
Boyd-Wong-type common fixed point results in cone metric spaces
(Elsevier Science Inc, New York, 2011)
Some common fixed point results in cone metric spaces of C. Di Bari and P. Vetro [C. Di Bari, P. Vetro, phi-pairs and common fixed points in cone metric spaces, Rend. Cir. Mat. Palermo 57 (2008), 279-285] as well as P. ...
A generalized Birkhoff-Young-Chebyshev quadrature formula for analytic functions
(Elsevier Science Inc, New York, 2011)
A generalized N-point Birkhoff-Young quadrature of interpolatory type, with the Chebyshev weight, for numerical integration of analytic functions is considered. The nodes of such a quadrature are characterized by an ...
On the remainder term of Gauss-Radau quadrature with Chebyshev weight of the third kind for analytic functions
(Elsevier Science Inc, New York, 2012)
For analytic functions the remainder term of quadrature formulae can be represented as a contour integral with a complex kernel. We study the kernel, on elliptic contours with foci at the points -/+ 1 and a sum of semi-axes ...
Tropical algebra based framework for error propagation analysis in systolic arrays
(Elsevier Science Inc, New York, 2013)
Nanotechnology is yet to come, but even now, in early stage of development it is clear that defect and fault levels will be much higher than current CMOS technology. The exact level of defect densities is unknown, but it ...
Conditions of regularity in cone metric spaces
(Elsevier Science Inc, New York, 2011)
In this paper we prove some fixed points results on cone metric spaces for maps satisfying general contractive type conditions. Among other things, we extend some results of Nguyen [11] from metric spaces to cone metric ...