Results 51 to 60 of about 1,589,926 (279)

ON $I$-STATISTICALLY PRE-CAUCHY SEQUENCES

open access: yesTaiwanese Journal of Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Pratulananda, Savas, Ekrem
openaire   +4 more sources

Lacunary -Convergence and Lacunary -Cauchy Sequence [PDF]

open access: yes, 2023
Yapılan bu çalışmada, öncelikle, lacunary -yakınsaklık kavramı tanımlandı ve lacunary -yakınsaklık kavramı ile lacunary -yakınsaklık kavramı arasındaki ilişkiler incelendi.
Akın, Nimet   +2 more
core   +1 more source

On Fuzzy Normed Spaces [PDF]

open access: yesEngineering and Technology Journal, 2011
In this paper we introduce a new definition of a fuzzy normed space (to the best of our knowledge) then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.
Jehad R. Kider
doaj   +1 more source

Completeness results for metrized rings and lattices [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2019
The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, $\{0\})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical
George Bergman
doaj   +1 more source

Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces

open access: yesInPrime, 2022
The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping.
Ainun Sukmawati Al Idrus   +4 more
doaj   +1 more source

On downward half Cauchy sequences

open access: yesElectronic Notes in Discrete Mathematics, 2018
Abstract In this paper, we introduce and investigate the concepts of down continuity and down compactness. A real valued function f on a subset E of R, the set of real numbers is down continuous if it preserves downward half Cauchy sequences. It turns out that the set of down continuous functions is a proper subset of the set of continuous functions.
openaire   +1 more source

Sulfur‐Free Ultrahigh‐Refractive‐Index Polymers Enabled by Densely Packed Oxygen‐Bridged Dibenzofuran‐Cardo Architectures

open access: yesAdvanced Functional Materials, EarlyView.
A new class of sulfur‐free, oxygen‐bridged dibenzofuran‐based polymers is developed for ultrahigh‐refractive‐index applications. The rigid π‐extended architecture and enhanced molecular polarizability enable exceptional optical performance, combining refractive indices up to 1.848 with high Abbe numbers and full visible transparency. This work offers a
Hend A. Hegazy   +5 more
wiley   +1 more source

On $A$-statistical convergence and $A$-statistical Cauchy via ideal

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
doaj   +1 more source

WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS [PDF]

open access: yes, 2013
We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞.
Ascanelli, Alessia, Boiti, Chiara
core   +1 more source

Bioinspired Mechanosensitive Organic Artificial Neuron With Programmable Excitatory and Inhibitory Responses via Nonlinear Mechano‐Electrochemical Coupling

open access: yesAdvanced Materials, EarlyView.
Organic artificial neurons couple mechanical deformation and ionic environments through nonlinear mechano‐electrochemical dynamics. Mechanical strain and electrolyte concentration reshape their nonlinear electrical characteristics, programming excitatory or inhibitory spiking responses that mimic mechanosensitive biological neurons and enable ...
Rassen Boukraa   +4 more
wiley   +1 more source

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