We study the kernels Kn,s(z) in the remainder terms Rn,s(f) of the Gauss-Turán quadrature formulae for analytic functions on elliptical contours with foci at ±1, when the weight ω is a generalized Chebyshev weight function. For the generalized Chebyshev weight of the first (third) kind, it is shown that the modulus of the kernel |Kn,s(z)| attains its maximum on the real axis (positive real semi...

For a non-trivial additive character ψ and multiplicative character χ on a finite field Fq , and rational functions f, g in Fq(x), we show that the elementary Stepanov-Schmidt method can be used to obtain the corresponding Weil bound for the sum ∑ x∈Fq\S χ(g(x))ψ(f(x)) where S is the set of the poles of f and g. We also determine precisely the number of characteristic values ωi of modulus q1/2 ...

We report the discovery of resolved magnetically split lines in two chemically peculiar stars, the SrEuCr star HD 92499 and the Bp SiCr star HD 157751. From FEROS spectra, we have measured a mean magnetic field modulus of 8.5 kG for HD 92499 and a mean magnetic field modulus of 6.6 kG for HD 157751. Both stars have small projected rotational velocities: v sin i = 3.0 km s −1 and 8.5 km s −1 , r...

We study the kernel Kn,s(z) of the remainder term Rn,s( f ) of Gauss–Turán–Kronrod quadrature rules with respect to one of the generalized Chebyshev weight functions for analytic functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective L∞-error bounds of Gauss–Turán–Kronrod quadratures. Following Kronrod,...

We introduce the vector-valued sequence spaces w∞ Δ, F,Q, p, u , w1 Δ, F,Q, p, u , and w0 Δ, F,Q, p, u , S q u and S q 0u, using a sequence of modulus functions and the multiplier sequence u uk of nonzero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly Δuq-Cesàro summable with respect to the modulus function f then it is ...

IMPORTANCE Acquired soft-tissue injury with resultant volume loss may cause significant deformity in size, shape, and body or facial contour. Current autologous fat transfer techniques have several limitations, including availability, donor site morbidity, and unpredictable rates of resorption. We present an extracellular matrix (ECM) biomaterial derived from human adipose tissue as an off-the-...

Mechanical properties of tibial bone at compressive strain rates of 50-200 s are obtained through Split Hopkinson pressure bar. Cylindrical specimens of 12-15 mm diameter and 2-5 mm thickness were used. The Young’s moduli are calculated from linear portion of stress-strain curves. For both cortical and cancellous part of the bones, the Young’s modulus was found to increase with the increasing s...

We present a new mechanism, the S-T rack, to stabilize the volume modulus S in heterotic M-theory flux compactifications along with the orbifold-size T besides complex structure and vector bundle moduli stabilization. The key dynamical ingredient which makes the volume modulus stabilization possible, is M5-instantons arising from M5-branes wrapping the whole Calabi-Yau slice. These are natural ...

Standardization on Shear wave ultrasound elastography (SWUE) technical settings will not only ensure that the results are accurate, but also detect any differences over time that may be attributed to true physiological changes. The present study evaluated the variations of elastic modulus of muscle and tendon using SWUE when different technical aspects were altered. The results of this study in...

Four-color and HP photometry has been obtained for 16 stars in the open cluster NGC 6087. Based on this photometry the membership of these stars in the cluster is discussed. Using stars which appear to be members a color excess of E (b y) = 0Y23 and a distance modulus of (V, M,) = 9%0 are derived. This distance modulus is about 0% less than previous values and indicates a lower luminosity for t...