Results 51 to 60 of about 4,877 (197)
Duals and Matrix Classes Involving Cesàro Type Classes of Sequences of Fuzzy Numbers
We first define Cesàro type classes of sequences of fuzzy numbers and equip the set with a complete metric. Then we compute the Köthe‐Toeplitz dual and characterize some related matrix classes involving such classes of sequences of fuzzy numbers.
Hemen Dutta +2 more
wiley +1 more source
A quantified Tauberian theorem for sequences
The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of decay of such a sequence in terms of the behaviour of a certain boundary ...
Seifert, David
core +1 more source
Approximate amenability of Segal algebras II [PDF]
We prove that every proper Segal algebra of a SIN group is not approximately ...
Alaghmandan, Mahmood
core +1 more source
Simple Barban–Davenport–Halberstam type asymptotics for general sequences
Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley +1 more source
Local Limit Theorem for the Multiple Power Series Distributions
We study the behavior of multiple power series distributions at the boundary points of their existence. In previous papers, the necessary and sufficient conditions for the integral limit theorem were obtained.
Arsen L. Yakymiv
doaj +1 more source
Decoupling for Schatten class operators in the setting of quantum harmonic analysis
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
Regularity and asymptotics of densities of inverse subordinators
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
Density by Moduli and Lacunary Statistical Convergence
We have introduced and studied a new concept of f-lacunary statistical convergence, where f is an unbounded modulus. It is shown that, under certain conditions on a modulus f, the concepts of lacunary strong convergence with respect to a modulus f and f ...
Vinod K. Bhardwaj, Shweta Dhawan
doaj +1 more source
The Liouville theorem for a class of Fourier multipliers and its connection to coupling
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
TAUBERIAN THEOREM FOR GENERAL MATRIX SUMMABILITY METHOD
In 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

