Characterization of summing operators in multiplier spaces of deferred Nörlund summability

K Raj, SA Mohiuddine, S Jasrotia - Positivity, 2023 - Springer
We aim to investigate and study vector-valued multiplier spaces with reference to the
sequences of continuous linear operators among normed spaces and deferred Nörlund …

On statistical convergence and strong Cesàro convergence by moduli

F León-Saavedra, MC Listán-García… - Journal of Inequalities …, 2019 - Springer
In this paper we will establish a result by Connor, Khan and Orhan (Analysis 8: 47–63, 1988;
Publ. Math.(Debr.) 76: 77–88, 2010) in the framework of the statistical convergence and the …

On modulated lacunary statistical convergence of double sequences

MPR de la Rosa - Mathematics, 2023 - mdpi.com
In earlier works, F. León and coworkers discovered a remarkable structure between
statistical convergence and strong Cesàro convergence, modulated by a function f (called a …

Evanescent wave in multiple slit diffraction and n-array antennas in metamaterial using Cesàro convergence

Y Nellambakam, K Haritha, KVS Shiv Chaitanya - Scientific Reports, 2023 - nature.com
In this paper, we study Multiple slit diffraction and n-array linear antennae in negative
refractive index material. We show that the evanescent wave plays a vital role in the near …

[HTML][HTML] Orlicz–Pettis theorem through summability methods

F León-Saavedra, MP Romero de la Rosa, A Sala - Mathematics, 2019 - mdpi.com
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 …

On Modulated Lacunary Statistical Convergence of Double Sequences

MP Romero de la Rosa - 2023 - rodin.uca.es
In earlier works, F. León and coworkers discovered a remarkable structure between
statistical convergence and strong Cesàro convergence, modulated by a function f (called a …

Classical theorems through convergence methods

F León-Saavedra, M Listán-García… - arxiv preprint arxiv …, 2023 - arxiv.org
We survey some results that provide different versions of classical results through different
summability methods. Specifically, in order to adapt such classical results, we analyze which …

Modulated Lacunary Statistical and Strong-Cesàro Convergences

MP Romero de la Rosa - Symmetry, 2023 - mdpi.com
Here, we continued the studies initiated by Vinod K. Bhardwaj and Shweta Dhawan which
relate different convergence methods involving the classical statistical and the classical …

[PDF][PDF] Characterizations of unconditionally convergent and weakly unconditionally Cauchy series via wRp-summability, Orlicz-Pettis type theorems and compact …

M Karakuş, F Başar - Filomat, 2022 - elib.mi.sanu.ac.rs
In the present paper, we give a new characterization of unconditional convergent series and
give some new versions of the Orlicz-Pettis theorem via FQ σ-family and a natural family F …

[PDF][PDF] Exploration of indispensable Banach-space valued functions

Y Hu, G Lyu, Y **, Q Liu - AIMS Mathematics, 2023 - aimspress.com
In the paper, we present a necessary and sufficient condition for the existence of a sequence
of measurable functions with finite values, which converge to any given essential bounded …