Equiconvergence of matrix transformations [PDF]
Proceedings of the American Mathematical Society, 1978 Equiconvergence of matrix transformations is related to the existence of Tauberian constants. Agnew’s result on the equiconvergence of Cesàro and Riesz means is shown to be best possible. Finally, equiconvergence of equivalent arithmetical summation methods related to the prime number theorem is investigated.
openaire +2 more sources
Boundary value problems on fractal hypersurfaces for the quaternionic hermitian system in R-4n [PDF]
, 2014 In this paper we formulate and study Dirichlet and jump problems on fractal hypersurfaces in R4n for quaternionic Hermitian monogenic functions, using a circulant matrix approach.
Abreu-Blaya, Ricardo +5 more
core +2 more sources
Application of wavelets to singular integral scattering equations [PDF]
, 2004 The use of orthonormal wavelet basis functions for solving singular integral scattering equations is investigated. It is shown that these basis functions lead to sparse matrix equations which can be solved by iterative techniques.
B. M. Kessler +10 more
core +1 more source
On a Class of Parametric Transforms and Its Application to Image Compression
EURASIP Journal on Advances in Signal Processing, 2007 A class of parametric transforms that are based on unified representation of transform matrices in the form of sparse matrix products is described. Different families of transforms are defined within the introduced class. All transforms of one family can
David Guevorkian +2 more
doaj +2 more sources
Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers
Journal of Mathematics, 2023 In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
doaj +1 more source
Fractional operators for the Wright hypergeometric matrix functions
Advances in Difference Equations, 2020 In this paper, we contribute to the results of Bakhet et al. (Integral Transforms Spec. Funct. 30:138–156, 2019) by applying fractional operators to the Wright hypergeometric matrix functions. We give matrix recurrence relations and integral formulas for
M. Abdalla
doaj +1 more source
Sparse Matrix Based Low-Complexity, Recursive, and Radix-2 Algorithms for Discrete Sine Transforms
IEEE Access, 2021 This paper presents factorizations of each discrete sine transform (DST) matrix of types I, II, III, and IV into a product of sparse, diagonal, bidiagonal, and scaled orthogonal matrices.
Sirani M. Perera, Levi E. Lingsch
doaj +1 more source
Binomial Transforms of the Padovan and Perrin Matrix Sequences
Abstract and Applied Analysis, 2013 We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations.
Nazmiye Yilmaz, Necati Taskara
doaj +1 more source
Matrix Transformations of Power Series [PDF]
Proceedings of the American Mathematical Society, 1994 We consider the sequence of transforms ( g n ) ({g_n}) of a power series ∑ n = 0 ∞ a n
Borwein, David, Jakimovski, Amnon
openaire +1 more source
Universal random matrix correlations of ratios of characteristic polynomials at the spectral edges [PDF]
, 2003 It has been shown recently by Fyodorov and Strahov [math-ph/0204051] that Cauchy transforms of orthogonal polynomials appear naturally in general correlation functions containing ratios of characteristic polynomials of random N×N Hermitian matrices.
Abramowitz +50 more
core +2 more sources