Remark on a formula of P.H. Jackson
Remark on the convergence of the sequences defined by certain difference equations
Remarks on a paper of S. K. Bhattacharyya and B. K. Lahiri
Remarks on duality for -groups. I. Products and coproducts
Remarks on several types of convergence of bounded sequences
In this paper we analyze relations among several types of convergences of bounded sequences, in particulars among statistical convergence, -convergence, -convergence, almost convergence, strong -Cesàro convergence and uniformly strong -Cesàro convergence.
Remarks on statistical and -convergence of series
In this paper we investigate the relationship between the statistical (or generally -convergence) of a series and the usual convergence of its subseries. We also give a counterexample which shows that Theorem 1 of the paper by B. C. Tripathy “On statistically convergent series”, Punjab. Univ. J. Math. 32 (1999), 1–8, is not correct.
Remarque sur le cas douteux relatif à certains caractères de convergence des séries
Remarques sur divers articles, concernant la théorie des séries
Repeated Modifications of Limit k-Periodic continued Fractions.
Resommation des series formelles. Solutions d'équations différentielles linéaires ordinaires du second ordre dans le champ complexe au voisinage de singularités irrégulières.
Series like Taylor's series.
Series of iterates
Set-theoretic characteristics of summability of sequences and convergence of series
Silvermann-Toeplitz theorem for double sequences and series and its application to Nörlund means in non-archimedean fields
Some Characterizations Of Almost Convergence For Single And Double Sequences
Some generalizations of Olivier's theorem
Let be a convergent series of positive real numbers. L. Olivier proved that if the sequence is non-increasing, then . In the present paper: (a) We formulate and prove a necessary and sufficient condition for having ; Olivier’s theorem is a consequence of our Theorem . (b) We prove properties analogous to Olivier’s property when the usual convergence is replaced by the -convergence, that is a convergence according to an ideal of subsets of . Again, Olivier’s theorem is a consequence of...
Some new bounds for Mathieu's series.
Some new facts about group 𝒢 generated by the family of convergent permutations
The aim of this paper is to present some new and essential facts about group 𝒢 generated by the family of convergent permutations, i.e. the permutations on ℕ preserving the convergence of series of real terms. We prove that there exist permutations preserving the sum of series which do not belong to 𝒢. Additionally, we show that there exists a family G (possessing the cardinality equal to continuum) of groups of permutations on ℕ such that each one of these groups is different than 𝒢 and is composed...
Some new Properties of Sequence Spaces and Application to the Continued Fractions
Some new sequence spaces defined by a modulus function