An extension of Brudno-Mazur-Orlicz theorem
An extension of Lorentz's almost convergence and applications in Banach spaces
2000 Mathematics Subject Classification: Primary 40C99, 46B99.We investigate an extension of the almost convergence of G. G. Lorentz requiring that the means of a bounded sequence converge uniformly on a subset M of N. We also present examples of sequences α∈ l∞(N) whose sequences of translates (Tn α)n≥ 0 (where T is the left-shift operator on l∞(N)) satisfy: (a) Tn α, n ≥ 0 generates a subspace E(α) of l∞(N) that is isomorphically embedded into c0 while α is not almost convergent. (b) Tn...
An Inclusion Theorem In The General Theory Of Matrix Convergence Methods
Analogues of some Tauberian theorems for stretchings.
Analytic continuation by means of the methods of divergent series
Analytical properties of power series on Levi-Civita fields
A detailed study of power series on the Levi-Civita fields is presented. After reviewing two types of convergence on those fields, including convergence criteria for power series, we study some analytical properties of power series. We show that within their domain of convergence, power series are infinitely often differentiable and re-expandable around any point within the radius of convergence from the origin. Then we study a large class of functions that are given locally by power series and...
Approximation of signals (functions) belonging to the weighted -class by linear operators.
Asymptotic equivalence and summability.
Asymptotic equivalence of sequences and summability.
Banach and statistical cores of bounded sequences
In this paper, we are mainly concerned with characterizing matrices that map every bounded sequence into one whose Banach core is a subset of the statistical core of the original sequence.
Calculations on some sequence spaces.
Cesàro wedge and weak Cesàro wedge -spaces
In this paper we deal with Cesàro wedge and weak Cesàro wedge -spaces, and give several characterizations. Some applications of these spaces to general summability domains are also studied.
Characterization of certain matrix classes involving generalized difference summability spaces.
Characterizing wirkfelder of certain classes of summability methods.
Charakterisierungen für Hausdorff-Matrizen.
Consistency theory in semiconservative spaces
Construction of binomial sums for and polylogarithmic constants inspired by BBP formulas.
Convergence, via summability, of formal power series solutions to a certain class of completely integrable Pfaffian systems
Convexity preserving summability matrices.
Der induktive Limes von abzählbar vielen FH-Räumen. Vereinigungsverfahren..