Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Solution of wave-like equation based on Haar wavelet
Get PDFWavelet transform and wavelet analysis are powerful mathematical tools for many problems. Wavelet also can be applied in numerical analysis. In this paper, we apply Haar wavelet method to solve wave-like equation with initial and boundary conditions known. The fundamental idea of Haar wavelet method is to convert the differential equations into a group of algebraic equations, which involves a finite number or variables. The results and graph show that the proposed way is quite reasonable when compared to exact solution
Two-dimensional semi-log-canonical hypersurfaces
Get PDFWe derive explicit equations for all two-dimensional, semi-log-canonical hypersurface singularities by an elemetary method
A study on certain class of harmonic functions of complex order associated with convolution
Get PDFIn this paper, we introduce a new class of harmonic functions of complex order associated with convolution. We also derive the coefficient inequality, distortion theorem, extreme points, convolution conditions and convex combination for this class
(α,β,T)-Convex vague sets
Get PDFBy using vague sets we generalize the notion of convex sets and introduce the notion of (α, β ,T )-convex vague sets and study their properties, where T is a triangular norm on [0, 1].
On some applications of subordination and superordination of multivalent functions involving the extended fractional differintegral operator
Get PDFIn this paper, we apply fractional differintegral operator and study various properties of differential subordination and superordination
Algebraic properties of Bier spheres
Get PDFWe give a classification of flag Bier spheres, as well as descriptions of the first and second Betti numbers of general Bier spheres. Additionally, we compute the Betti numbers for a specific class of Bier spheres, constructed from skeletons of a full simplex
An algebraic proof for the identities for the degree of syzygies in numerical semigroup
Get PDFIn the article [4] two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also extend these results
Powers of edge ideals
Get PDFWe compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti–d−path, we prove that they have linear quotients and we characterize the normally torsion–free ideals. We determine a class of non–squarefree ideals, arising from some particular graphs, which are normally torsion–free
A multiple more accurate Hardy-Littlewood-Polya inequality
Get PDFBy introducing multi-parameters and conjugate exponents and using Euler-Maclaurin’s summation formula, we estimate the weight coefficient and prove a multiple more accurate Hardy-Littlewood-Polya (H-L-P) inequality, which is an extension of some earlier published results. We also prove that the constant factor in the new inequality is the best possible, and obtain its equivalent forms