scholarly journals Metamaterials and Cesàro convergence

AIP Advances ◽  
2020 ◽  
Vol 10 (4) ◽  
pp. 045127
Author(s):  
Yuganand Nellambakam ◽  
K. V. S. Shiv Chaitanya
Keyword(s):  
Cesaro Convergence

scholarly journals On statistical convergence and strong Cesàro convergence by moduli

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Fernando León-Saavedra ◽  
M. del Carmen Listán-García ◽  
Francisco Javier Pérez Fernández ◽  
María Pilar Romero de la Rosa
Keyword(s):  
Statistical Convergence ◽  
Convergent Sequence ◽  
Modulus Function ◽  
Cesaro Convergence ◽  
Bounded Sequences ◽  
Convergent Sequences

AbstractIn 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 strong Cesàro convergence defined by a modulus function f. Namely, for every modulus function f, we will prove that a f-strongly Cesàro convergent sequence is always f-statistically convergent and uniformly integrable. The converse of this result is not true even for bounded sequences. We will characterize analytically the modulus functions f for which the converse is true. We will prove that these modulus functions are those for which the statistically convergent sequences are f-statistically convergent, that is, we show that Connor–Khan–Orhan’s result is sharp in this sense.

scholarly journals Some New Observations on Wijsman ℐ 2 -Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Ömer Kişi
Keyword(s):  
Statistical Convergence ◽  
Metric Spaces ◽  
Double Sequence ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Intuitionistic Fuzzy ◽  
Lacunary Statistical Convergence ◽  
Cesaro Convergence

In this study, we investigate the notions of the Wijsman ℐ 2 -statistical convergence, Wijsman ℐ 2 -lacunary statistical convergence, Wijsman strongly ℐ 2 -lacunary convergence, and Wijsman strongly ℐ 2 -Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS). Also, we give the notions of Wijsman strongly ℐ 2 ∗ -lacunary convergence, Wijsman strongly ℐ 2 -lacunary Cauchy, and Wijsman strongly ℐ 2 ∗ -lacunary Cauchy set sequence in IFMS and establish noteworthy results.

Some Cesáro-Type quasinormal convergences

2021 ◽  
Vol 30 (1) ◽  
pp. 75-80
Author(s):  
FATIH NURAY
Keyword(s):  
Statistical Convergence ◽  
Inclusion Relations ◽  
Convergence Of Sequences ◽  
Cesaro Convergence

In this paper we introduce the concepts of quasinormal strong Cesaro convergence, quasinormal statistical convergence, lacunary strong quasinormal convergence and lacunary quasinormal statistical convergence of sequences of functions and give some inclusion relations.

Lacunary Convergence of Double Sequences of Complex Uncertain Variables

2021 ◽  
pp. 2150017
Author(s):  
Pranab Jyoti Dowari ◽  
Binod Chandra Tripathy
Keyword(s):  
Double Sequences ◽  
Uncertain Variables ◽  
Cesaro Convergence

In this paper, we introduce the notion of lacunary convergence for double sequences of complex uncertain variables. We have established the relation between lacunary convergence and strong Cesàro convergence. Also, we have established the relation between different concepts of lacunary convergence of double sequences of complex uncertain variables.

scholarly journals Two weighted ineqalities for maximal functions related to Cesàro convergence

2003 ◽  
Vol 74 (1) ◽  
pp. 111-120
Author(s):  
A. L. Bernardis ◽  
F. J. Martín-Reyes
Keyword(s):  
Maximal Operator ◽  
Singular Integrals ◽  
Weak Type ◽  
Maximal Functions ◽  
Cesaro Convergence

AbstractWe characterize the pairs of weights (u, v) for which the maximal operator is of weak and restricted weak type (p, p) with respect to u(x)dx and v(x)dx. As a consequence we obtain analogous results for We apply the results to the study of the Cesàro-α convergence of singular integrals.

Cesàro convergence of spherical averages for Markov groups and semigroups

2011 ◽  
Vol 66 (3) ◽  
pp. 633-634
Author(s):  
Aleksandr I Bufetov ◽  
Alexey V Klimenko ◽  
Mikhail I Khristoforov
Keyword(s):  
Cesaro Convergence
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