Results 1 to 10 of about 239 (117)
Applications of Lucas sequences in convergence and signal processing [PDF]
Scientific ReportsIn this paper we propose a new perspective related to Lucas sequence with statistical and summability, some considerations have been given in connection with their applications of signal processing.
Majeed Ahmad Yousif +4 more
doaj +2 more sources
On the Euler method of summability and concerning Tauberian theorems
Cumhuriyet Science Journal, 2021 For any two regular summability methods (U) and (V), the condition under which V-limx_n=λ implies U-limx_n=λ is called a Tauberian condition and the corresponding theorem is called a Tauberian theorem.
İbrahim Çanak, Sefa Anıl Sezer
doaj +1 more source
ON \(A^{\mathcal{I^{K}}}\)–SUMMABILITY
Ural Mathematical Journal, 2022 In this paper, we introduce and investigate the concept of \(A^{\mathcal{I^{K}}}\)-summability as an extension of \(A^{\mathcal{I^{*}}}\)-summability which was recently (2021) introduced by O.H.H.~Edely, where \(A=(a_{nk})_{n,k=1}^{\infty}\) is a non ...
Chiranjib Choudhury, Shyamal Debnath
doaj +1 more source
General methods of convergence and summability
Journal of Inequalities and Applications, 2021 This paper is on general methods of convergence and summability. We first present the general method of convergence described by free filters of N $\mathbb{N} $ and study the space of convergence associated with the filter.
Francisco Javier García-Pacheco +2 more
doaj +1 more source
Strong summability methods in a Riesz-type family; pp. 238–250 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 We continue our studies on Riesz-type families of summability methods for functions and sequences, started in (Proc. Estonian Acad. Sci., 2008, 57, 70â80) and (Math. Model. Anal., 2010, 15, 103â112). Strong summability methods defined on the basis of
Anna Šeletski, Anne Tali
doaj +1 more source
Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces [PDF]
Yugoslav Journal of Operations Research, 2022 We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean ...
Narayan Mishra Lakshmi +3 more
doaj +1 more source
Axioms, 2021 In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the ...
Pratulananda Das
doaj +1 more source
A new extension on the theorem of Bor
Comptes Rendus. Mathématique, 2021 In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence.
Yıldız, Şebnem
doaj +1 more source
Four dimensional matrix mappings and applications
Kuwait Journal of Science, 2023 In this paper, we characterize the classes (L,Lk), (Lk,L) and (L∞,Lk), 1 ≤ k < ∞, of all four dimentional infinite matrices, where Lk and L∞ are the spaces of all absolutely k-summable and bounded double sequences, respectively. Using them, we establish
Mehmet Ali Sarigol
doaj +1 more source
Orlicz–Pettis Theorem through Summability Methods
Mathematics, 2019 This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra +2 more
doaj +1 more source