On the Convergence of Powers of Interval Matrices (2).
On the convergence of sequences defined by difference equations
On the dilution of series
On the distribution of angles of Kloosterman sums.
On the evaluation of Euler sums.
On the Hausdorff-Limitability of ...
On the ideal convergence of sequences of quasi-continuous functions
For any Borel ideal ℐ we describe the ℐ-Baire system generated by the family of quasi-continuous real-valued functions. We characterize the Borel ideals ℐ for which the ideal and ordinary Baire systems coincide.
On the inequality of Mathieu.
On the inequality of Mathieu.
On the Limits of Simple Means.
On the metric dimension of converging sequences
In the paper, some kind of independence between upper metric dimension and natural order of converging sequences is shown — for any sequence converging to zero there is a greater sequence with an arbitrary () upper dimension. On the other hand there is a relationship to summability of series — the set of elements of any positive summable series must have metric dimension less than or equal to .
On the Numerical Evaluation of a Sum Involving Binomial Coefficients.
On the Ramanujan AGM fraction. II: The complex-parameter case.
On the sequence of integer parts of a good sequence for the ergodic theorem
If is a sequence of real numbers which is good for the ergodic theorem, is the sequence of the integer parts good for the ergodic theorem ? The answer is negative for the mean ergodic theorem and affirmative for the pointwise ergodic theorem.
On the strong lacunary convergence and strong Cesàro summability of sequences of real-valued functions.
On the uniform convergence of weighted trigonometric series
In the present paper we consider a new class of sequences called GM(β,r), which is the generalization of a class defined by Tikhonov in [15]. We obtain sufficient and necessary conditions for uniform convergence of weighted trigonometric series with (β,r)-general monotone coefficients.
On Three Problems For Sequences.
On totally non-commutative convergence groupoids
On transfinite sequences of B-measurable functions
On two-scale convergence and related sequential compactness topics
A general concept of two-scale convergence is introduced and two-scale compactness theorems are stated and proved for some classes of sequences of bounded functions in involving no periodicity assumptions. Further, the relation to the classical notion of compensated compactness and the recent concepts of two-scale compensated compactness and unfolding is discussed and a defect measure for two-scale convergence is introduced.