Results 21 to 30 of about 1,589,926 (279)

On Strongly Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

Universal Journal of Mathematics and Applications, 2023
In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle, Nimet Pancaroğlu Akın, Erdinç Dündar   +2 more
doaj   +1 more source

A Generalization of the Cauchy-Schwarz Inequality with Four Free Parameters and Applications [PDF]

, 2008
A generalization of the well-known Cauchy-Schwarz inequality with four free parameters is given for both discrete and continuous cases.
Masjed-Jamei, Mohammad, Dragomir, Sever S   +1 more
core   +6 more sources

On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups

Universal Journal of Mathematics and Applications, 2023
In this paper, firstly we introduced the concepts of rough $\mathcal{I}$-convergence, rough $\mathcal{I}^*$-convergence, rough $\mathcal{I}$-Cauchy sequence, and rough $\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenable ...
Erdinç Dündar, Uğur Ulusu
doaj   +1 more source

Neutrosophic 2−normed spaces and generalized summability [PDF]

Neutrosophic Sets and Systems, 2023
The aim of present paper is to introduce the concept of neutrosophic 2−norm space ( briefly abbreviated as N −2−NS) and study statistical summability in these spaces.
Sajid Murtaza, Archana Sharma, Vijay Kumar   +2 more
doaj   +1 more source

On statistically convergent complex uncertain sequences

Karpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, we extend the study of statistical convergence of complex uncertain sequences in a given uncertainty space. We produce the relation between convergence and statistical convergence in an uncertain environment. We also initiate statistically
B. Das, P. Debnath, B.C. Tripathy
doaj   +1 more source

Ideal quasi-Cauchy sequences [PDF]

Journal of Inequalities and Applications, 2012
16 pages.
Cakalli, Huseyin, Hazarika, Bipan
openaire   +2 more sources

On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence.
Shyamal Debnath, Santonu Debnath, Chiranjib Choudhury   +2 more
doaj   +1 more source

A STUDY ON SOME FUNDAMENTAL CHARACTERISTICS OF SEQUENCES OF SOFT REAL NUMBERS [PDF]

Acta Scientifica Malaysia, 2018
The main aim of this article is to discuss soft limit, convergent sequences, Soft boundedness, and Soft convergent. Divergent criterion. Soft monotone sequences, Soft squeezness, Soft Cauchy Sequence, Soft Cauchy boundedness and Soft Cauchy first and ...
Arif Mehmood Khattak, Saleem Abdullah, Zaheer Anjum Khattak   +2 more
doaj   +1 more source

On Statistical Convergence of Order α in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems, 2023
In this paper, we introduce the notion of statistical convergent of order α in the neutrosophic normed spaces. We investigate a few properties of the newly introduced notion and examine the relationship with statistical convergence in the neutrosophic ...
Shyamal Debnath, Bijoy Das, Santonu Debnath, Chiranjib Choudhury   +3 more
doaj   +1 more source

Ideal convergence and ideal Cauchy sequences in intuitionistic fuzzy metric spaces [PDF]

Mathematica Moravica, 2023
The present study introduces the concepts of ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I *-convergence, and I *-Cauchy sequences in intuitionistic fuzzy metric spaces.
Or Aykut, Karabacak Gökay
doaj