This paper discusses the variations in the early-age pavement smoothness at different measurement times and locations in three jointed plain concrete pavements ( JPCPs) representing different ranges of construction times. Surface profile measurements were made during the early morning and late afternoon hours at different locations of the instrumented JPCPs during the first 7 d after constructi...

In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with ∅, X∈ , A( ) is the algebra generated by and M( ) is the set of nontrivial, finite, and finitely additive measures on A( ), and MR( ) is the set of elements of M( ) which are -regular. It is well known that any μ ∈M( ) induces a finitely additive measure μ̄ on an associated Wallman space. Whenever μ ∈MR( ), μ̄ is c...

We obtain a characterization of modulus of smoothnes of fractional order in the Lebesgue spaces Lω, 1 < p <∞, with weights ω satisfying the Muckenhoupt’s Ap condition. Also, a realization result and equivalence between modulus of smoothness and the Peetre K-functional are proved in Lω for 1 < p <∞ and ω ∈ Ap.

The Cauchy problem for first order system L(t, x, ∂t, ∂x) is known to be well posed in L when a it admits a microlocal symmetrizer S(t, x, ξ) which is smooth in ξ and Lipschitz continuous in (t, x). This paper contains three main results. First we show that a Lipsshitz smoothness globally in (t, x, ξ) is sufficient. Second, we show that the existence of symmetrizers with a given smoothness is e...

In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.

applying 2d algorithms for inverting the potential field data is more useful and efficient than their 3d counterparts, whenever the geologic situation permits. this is because the computation time is less and modeling the subsurface is easier. in this paper we present a 2d inversion algorithm for interpreting gravity data by employing a set of constraints including minimum distance, smoothness,...

In this paper we have presented a method for fusing two dimensional multi-resolution 2-D images using wavelet transform under the combine gradient and smoothness criterion. The usefulness of the method has been illustrated using various experimental image pairs such as the multifocus images, multi-sensor satellite image and CT and MR images of cross-section of human brain. The results of the pr...

This paper describes a method for melody detection in polyphonic musical signals. Our approach starts by obtaining a set of pitch candidates for each time frame, with recourse to an auditory model. Trajectories of the most salient pitches are then constructed. Next, note candidates are obtained by trajectory segmentation (in terms of frequency and pitch salience variations). Too short, low-sali...

We prove lower bounds for the approximation error of the variation-diminishing Schoenberg operator on the interval [0, 1] in terms of classical moduli of smoothness depending on the degree of the spline basis. For this purpose we use a functional analysis framework in order to characterize the spectrum of the Schoenberg operator and investigate the asymptotic behavior of its iterates.