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Characterization of summing operators in multiplier spaces of deferred Nörlund summability
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 …
sequences of continuous linear operators among normed spaces and deferred Nörlund …
On statistical convergence and strong Cesàro convergence by moduli
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 …
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 …
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
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 …
refractive index material. We show that the evanescent wave plays a vital role in the near …
[HTML][HTML] Orlicz–Pettis theorem through summability methods
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 …
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 …
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 …
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 …
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 …
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 …
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 …
of measurable functions with finite values, which converge to any given essential bounded …