Toplam kayıt 135, listelenen: 1-10
Hardy-Type Tauberian Conditions on Time Scales
(Birkhauser Verlag AG, 2018-10-01)
Hardy’s well-known Tauberian theorem for number sequences states that if a sequence x= (xk) satisfies lim Cx= L and Δ xk: = xk + 1- xk= O(1 / k) , then lim x= L, where Cx denotes the Cesàro mean (arithmetic mean) of x. In ...
An analytical approach: Explicit inverses of periodic tridiagonal matrices
(Elsevier B. V., 2018-06-01)
We derive an explicit formula for the inverse of a general, periodic, tridiagonal matrix. Our approach is to derive its LU factorization using backward continued fractions (BCF) which are an essential tool in number theory. ...
Formulæ related to the q-Dixon formula with applications to Fibonomial sums
(Kluwer Academic Publishers, 2015-06)
The -analogue of Dixon's identity involves three -binomial coefficients as summands. We find many variations of it that have beautiful corollories in terms of Fibonomial sums. Proofs involve either several instances of the ...
On the Number of Irreducible Polynomials over GF(2) with Some Prescribed Coefficients
(Longdom Publishing, 2017-09)
In this paper we evaluate the number of monic irreducible polynomials in ??2[??] of even degree ?? whose first four coefficients have prescribed values. This problem first studied in  and some approximate results are ...
Generalization of statistical Korovkin theorems
(Hindawi Publishing, 2013-08)
We generalize and develop the Korovkin-type approximation theory by using an appropriate abstract space. We show that our approximation is more applicable than the classical one. At the end, we display some applications.
On a class of nonlocal wave equations from applications
(American Institute of Physics Inc., 2016-06)
We study equations from the area of peridynamics, which is a nonlocal extension of elasticity. The governing equations form asystem of nonlocal wave equations. We take a novel approach by applying operator theory methods ...
A class of non-symmetric band determinants with the Gaussian q-binomialcoefficients
(Taylor and Francis Ltd., 2017)
A class of symmetric band matrices of bandwidth 2r+1 with the binomial coefficients entries was studied earlier. We consider a class of non-symmetric band matrices with the Gaussian q-binomial coefficients whose upper ...
The generalized Lilbert matrix
We introduce a generalized Lilbert [Lucas-Hilbert] matrix. Explicit formul' are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the ...
Evaluation of sums containing triple aerated generalized Fibonomial coefficients
(De Gruyter Open Ltd, 2017-04)
We evaluate a class of sums of triple aerated Fibonomial coefficients with a generalized Fibonacci number as coefficient. The technique is to rewrite everything in terms of a variable q and then to use Rothe's identity ...
Robust preconditioners for the high-contrast Stokes equation
(Elsevier Science Bv, 2014-03)
We consider the Stokes equation with high-contrast viscosity coefficients. We construct a preconditioner that is robust with respect to contrast size and mesh size simultaneously based on the preconditioner proposed by ...