Results 11 to 20 of about 2,565,267 (157)

Ideal statistically quasi Cauchy sequences [PDF]

AIP Conference Proceedings, 2016
An ideal I is a family of subsets of N, the set of positive integers which is closed under taking finite unions and subsets of its elements. A sequence (xk) of real numbers is said to be S(I)-statistically convergent to a real number L, if for each e > 0 and for each δ > 0 the set {n∈N:1n|{k≤n:|xk−L|≥e}|≥δ} belongs to I. We introduce S(I)-statistically
Savas, Ekrem, Cakalli, Huseyin
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On Some Inequalities of Cauchy-Bunyakovsky-Schwarz Type and Applications [PDF]

, 2007
Some discrete inequalities of Cauchy-Bunyakovsky-Schwarz type for complex numbers with applications for the maximal deviation of a sequence from its weighted mean are ...
Dragomir, Sever S, Sofo, Anthony
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Ideal strong lacunary quasi Cauchy sequences in 2-normed spaces [PDF]

AIP Conference Proceedings, 2021
In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2-normed spaces. A function f on a subset A of a 2-normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal strong lacunary quasi-Cauchy sequences of points in A. We also studied some other kinds of continuities.
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Double sequences with ideal convergence in fuzzy metric spaces [PDF]

, 2023
We show ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I* -convergence and I*-Cauchy sequences for double sequences in fuzzy metric spaces. We define the I-limit and I-cluster points of a double sequence in these spaces. Afterward,
Or, Aykut
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Lacunary -Convergence and Lacunary -Cauchy Sequence [PDF]

, 2023
Yapılan bu çalışmada, öncelikle, lacunary -yakınsaklık kavramı tanımlandı ve lacunary -yakınsaklık kavramı ile lacunary -yakınsaklık kavramı arasındaki ilişkiler incelendi.
Akın, Nimet, Dündar, Erdinç, Yalvaç, Şeyma   +2 more
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Cauchy-Schwartz Functionals [PDF]

, 2000
We treat a class of functionals which satisfy the Cauchy–Schwarz inequality. This appears to be a natural unifying concept and subsumes inter alia isotonic linear functionals and sublinear positive isotonic functionals.
Pearce, Charles, Dragomir, Sever S, Cho, Yeol Je   +2 more
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On some results in intuitionistic fuzzy ideal convergence double sequence spaces

Advances in Difference Equations, 2019
Recently, spaces of ideal convergent sequences of bounded linear operators were studied by Khan et al. (Numer. Funct. Anal. Optim. 39:1278-1290, 2018).
Vakeel A. Khan, Mobeen Ahmad, Hira Fatima, Mohd Faisal Khan   +3 more
doaj   +1 more source

Ideal Convergence in neutrosophic 2-normed space via the parameter µ and Zweier Operator [PDF]

Neutrosophic Sets and Systems
This paper introduces a novel convergence concept termed μ− Zweier ideal convergence within neutrosophic 2-normed spaces (briefly, N2NS). The parameter μ = (μn) represents a non-decreasing sequence of positive real numbers, with each μn tending to ...
Mobeen Ahmad, Nazneen Khan, Mohammad Imran Idrisi, Hira Fatima   +3 more
doaj   +1 more source

On ideal convergence and ideal Cauchy sequences of functions in 2-normed spaces and some properties

, 2020
In this paper, we study concepts of I-convergence, I*-convergence, I-Cauchy and I*-Cauchy sequences of functions and investigate relationships between them and some properties in 2-normed spaces.
Dündar, Erdinç, Arslan, Mukaddes
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An investigation on the triple ideal convergent sequences in fuzzy metric spaces

, 2022
The notion of ideal convergence is a process of generalizing of statistical convergence which is dependent on the idea of the ideal I of subsets of the set positive integer numbers.
Gürdal, Mehmet, Savas, Ekrem
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