On the Numerical Evaluation of a Sum Involving Binomial Coefficients.
On the (P) summability of a sequence of Fourier coefficients
On the Ramanujan AGM fraction. II: The complex-parameter case.
On the rate of strong summability of double Fourier series
Estimates of the strong means of Marcinkiewicz type with the Cesaro means of negative order in one of the variables instead of square partial sums are obtained by characteristics constructed on the basis of moduli of continuity.
On the relation between the Borel sum and the classical solution of the Cauchy problem for certain partial differential equations
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 sets of sequences that are strongly -bounded and -convergent to naught with index .
On the statistical and σ-cores
In [11] and [7], the concepts of σ-core and statistical core of a bounded number sequence x have been introduced and also some inequalities which are analogues of Knopp’s core theorem have been proved. In this paper, we characterize the matrices of the class and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.
On the strong Cesàro summability of double orthogonal series
On the strong lacunary convergence and strong Cesàro summability of sequences of real-valued functions.
On the strong summability and approximation of Fourier series
On the strong-Riesz mean-value theorem.
On the Summability of Subsequences
On the Tauberian constant in the Ikehara theorem
On the Taylor coefficients of the composition of two analytic 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 the value of a distribution at a point
On the weak Borel property of methods of summation
On the weight matrices of linear difference equations
On Three Problems For Sequences.