Statistical convergence of double sequences on probabilistic normed spaces.
Statistical convergence of infinite series
In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series. We will discuss some questions related to the convergence of subseries of a given series.
Statistical convergence of sequences of functions with values in semi-uniform spaces
We study several kinds of statistical convergence of sequences of functions with values in semi-uniform spaces. Particularly, we generalize to statistical convergence the classical results of C. Arzelà, Dini and P.S. Alexandroff, as well as their statistical versions studied in [Caserta A., Di Maio G., Kočinac L.D.R., {Statistical convergence in function spaces},. Abstr. Appl. Anal. 2011, Art. ID 420419, 11 pp.] and [Caserta A., Kočinac L.D.R., {On statistical exhaustiveness}, Appl. Math. Lett....
Statistical convergence of sequences of fuzzy numbers
Statistical convergence of subsequences of a given sequence.
Statistical convergence of subsequences of a given sequence
This paper is closely related to the paper of Harry I. Miller: Measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347 (1995), 1811–1819 and contains a general investigation of statistical convergence of subsequences of an arbitrary sequence from the point of view of Lebesgue measure, Hausdorff dimensions and Baire’s categories.
Statistical convergence of Walsh-Fourier series.
Statistical extensions of some classical Tauberian theorems in nondiscrete setting
Schmidt’s classical Tauberian theorem says that if a sequence of real numbers is summable (C,1) to a finite limit and slowly decreasing, then it converges to the same limit. In this paper, we prove a nondiscrete version of Schmidt’s theorem in the setting of statistical summability (C,1) of real-valued functions that are slowly decreasing on ℝ ₊. We prove another Tauberian theorem in the case of complex-valued functions that are slowly oscillating on ℝ ₊. In the proofs we make use of two nondiscrete...
Statistical limit point theorems.
Statistically strongly regular matrices and some core theorems.
Statistically -multiplicative matrices and some inequalities
Stokes phenomenon, multisummability and differential Galois groups
We precise the cohomological analysis of the Stokes phenomenon for linear differential systems due to Malgrange and Sibuya by making a rigid natural choice of a unique cocycle (called a Stokes cocyle) in every cohomological class. And we detail an algebraic algorithm to reduce any cocycle to its cohomologous Stokes form. This gives rise to an almost algebraic definition of sums for formal solutions of systems which we compare to the most usual ones. We also use this construction to the Stokes cocycle...
Strict inclusion between strong and ordinary methods of summability.
Strong convergence.
Strong laws and summability for sequences of -mixing random variables in Banach spaces.
Strong summability of Ciesielski-Fourier series
A strong summability result is proved for the Ciesielski-Fourier series of integrable functions. It is also shown that the strong maximal operator is of weak type (1,1).
Strongly almost convergent generalized difference sequences associated with multiplier sequences
Strongly Almost Convergent Sequences
Strongly almost convergent sequences.
Strongly convergent generalized difference sequence spaces defined by a modulus.