Functional analysis and theory of summability

• Aasma, A. Matrix transformation of summability fields of regular perfect matrix methods • Boos, J., Leiger, Т. The signed weak gliding hump property • Bor, H,, Absolute Cesàro summability factors of infinite series • Jurimäe, E., Matrix mappings between rate-spaces and spaces with speed. • Jürimäe, E. Properties of domains of matrix mappings of rate spaces and spaces with speed • Kolk, E., Inclusion theorems for some sequence spaces defined by a sequence of moduli • Leone, L., Inclusion between the cores concerning summability methods (R, pk), (J, pk) and (Ja, pk) • Sikk, J., The rate-spaces m(λ), c(λ), co(λ) and lp(λ) of sequences • Soomer, V., Strong almost convergence in Banach spaces • Tali, A., Some equivalent forms for convexity conditions for a family of normal matrix methods • Tynnov, M,, On the intergability and L1-convergence of cosine series • Zelazko, W., Open problems and some results on strongly closed subalgebras of B(X)http://tartu.ester.ee/record=b1077759~S1*es

Voronoi means, moving averages, and power series

We introduce a {\it non-regular} generalisation of the N\"{o}rlund mean, and show its equivalence with a certain moving average. The Abelian and Tauberian theorems establish relations with convergent sequences and certain power series. A strong law of large numbers is also proved

The Method of almost convergence with operator of the form fractional order and applications

The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character. Thus, the current knowledge about those concepts are presented. Second, we construct the almost convergent spaces with fractional order difference operator and compute dual spaces which are help us in the characterization of matrix mappings. After we characterize to the matrix transformations, we give some examples.Comment: 20 pages, 4 table

Some techniques on nonlinear analysis and applications

In this paper we present two different results in the context of nonlinear analysis. The first one is essentially a nonlinear technique that, in view of its strong generality, may be useful in different practical problems. The second result, more technical, but also connected to the first one, is an extension of the well-known Pietsch Domination Theorem. The last decade witnessed the birth of different families of Pietsch Domination-type results and some attempts of unification. Our result, that we call "full general Pietsch Domination Theorem" is potentially a definitive Pietsch Domination Theorem which unifies the previous versions and delimits what can be proved in this line.The connections to the recent notion of weighted summability are traced.Comment: 24 page