Results 41 to 50 of about 167 (163)
TAUBERIAN THEOREM FOR GENERAL MATRIX SUMMABILITY METHOD
Ural Mathematical JournalIn this paper, we prove certain Littlewood–Tauberian theorems for general matrix summability method by imposing the Tauberian conditions such as slow oscillation of usual as well as matrix generated sequence, and the De la Vallée Poussin means of real ...
Bidu Bhusan Jena +2 more
doaj +1 more source
Decoupling for Schatten class operators in the setting of quantum harmonic analysis
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 23-37, January 2025.Abstract We introduce the notion of decoupling for operators, and prove an equivalence between classical ℓqLp$\ell ^qL^p$ decoupling for functions and ℓqSp$\ell ^q{\mathcal {S}}^p$ decoupling for operators on bounded sets in R2d${\mathbb {R}}^{2d}$. We also show that the equivalence depends only on the bounded set Ω$\Omega$ and not on the values of p,q$
Helge J. Samuelsen
wiley +1 more source
Communications in Advanced Mathematical Sciences, 2020 We define statistical logarithmic summability of strongly measurable fuzzy valued functions and we give slowly decreasing type Tauberian conditions under which statistical limit at infinity and statistical logarithmic summability of strongly measurable ...
Enes Yavuz +2 more
doaj +1 more source
Factorable matrices and their associated Riesz matrices; pp. 379–386 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 A factorable matrix is a natural generalization of a Riesz matrix. When considering the properties of factorable matrices, many authors have used methods similar to the methods for Riesz matrices.
Maria Zeltser
doaj +1 more source
Regularity and asymptotics of densities of inverse subordinators
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.Abstract In this article, densities (and their derivatives) of subordinators and inverse subordinators are considered. Under minor restrictions, generally milder than the existing in the literature, employing a useful modification of the saddle point method, we obtain the large asymptotic behaviour of these densities (and their derivatives) for a ...
Giacomo Ascione +2 more
wiley +1 more source
The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2374-2394, July 2024.Abstract The classical Liouville property says that all bounded harmonic functions in Rn$\mathbb {R}^n$, that is, all bounded functions satisfying Δf=0$\Delta f = 0$, are constant. In this paper, we obtain necessary and sufficient conditions on the symbol of a Fourier multiplier operator m(D)$m(D)$, such that the solutions f$f$ to m(D)f=0$m(D)f=0$ are ...
David Berger +2 more
wiley +1 more source
Analogues of some Tauberian theorems for stretchings
International Journal of Mathematics and Mathematical Sciences, 2001 We investigate the effect of four-dimensional matrix transformation on new classes of double sequences. Stretchings of a double sequence is defined, and this definition is used to present a four-dimensional analogue of D.
Richard F. Patterson
doaj +1 more source
Approximation of the semi-infinite interval
International Journal of Mathematics and Mathematical Sciences, 1980 The approximation of a function f∈C[a,b] by Bernstein polynomials is well-known. It is based on the binomial distribution. O. Szasz has shown that there are analogous approximations on the interval [0,∞) based on the Poisson distribution.
A. McD. Mercer
doaj +1 more source
On logarithmic averages of sequences and its applications
Kuwait Journal of Science, 2016 In this paper, we investigate summability methods of logarithmic averages of the numerical sequences and its applications such as Tauberian type theorems.
Umit Totur, Muhammet A. Okur
doaj
Some Tauberian theorems for Euler and Borel summability
International Journal of Mathematics and Mathematical Sciences, 1980 The well-known summability methods of Euler and Borel are studied as mappings from ℓ1 into ℓ1. In this ℓ−ℓ setting, the following Tauberian results are proved: if x is a sequence that is mapped into ℓ1 by the Euler-Knopp method Er with r>0 (or the Borel ...
J. A. Fridy, K. L. Roberts
doaj +1 more source