Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers
TLDR
In this article, the authors introduce the concept of lacunary statistical and strongly convergence of generalized difference sequence of fuzzy real numbers and prove some inclusion relations and also study some of their properties.Abstract:
In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.read more
Citations
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γ-Open sets and γ-continuous mappings in fuzzy bitopological spaces
TL;DR: Some basic properties and characterization theorems for the γ-continuous functions in fuzzy bitopological spaces are examined and it is observed that every pairwise fuzzyγ-Continuous functions is pairwise warm precontinuous but the converse not true.
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On lacunary statistical convergence of order α
Hacer Şengül,Mikail Et +1 more
TL;DR: In this article, the authors introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of sets of Lacunary Statistical Convergence of Order α and strong Nθα(p)-summability.
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Lacunary I-Convergent Sequences
TL;DR: In this paper, the concepts of lacunary I-convergent sequences are introduced, and different properties of these sequences are investigated, such as solid, symmetric, convergence free etc.
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I-Monotonic and I-Convergent Sequences
TL;DR: In this paper, the authors studied the noton of I-monotonic sequences and proved the decomposition theorem and generalized some of the results on monotonic sequence noton.
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I -convergence in probabilistic n -normed space
TL;DR: The notion of I-Cauchy sequence and I-convergent sequence in probabilistic n-normed space is introduced and some of their properties related to these notions have been established.
References
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The Integrability of Certain Functions and Related Summability Methods
TL;DR: The Integrability of Certain Functions and Related Summability Methods as discussed by the authors is a seminal work in the field of algebraic geometry, and it has been used extensively in many applications.
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On Certain Sequence Spaces
TL;DR: In this paper, the authors define the spaces l ∞(Δ), c( Δ), and c0(δ) for mapping a matrix A to a matrix C ∞ (Δ) and determine necessary and sufficient conditions for a matrix c ∞ or c( Δ) to map A to map l∞ or C into l ∆ or c, and investigate related questions.
On Some Generalized Difference Sequence Spaces
TL;DR: In this article, a new class of difference sequence spaces associated with a multiplier sequence which are isomorphic with the classical spaces c0, c and � ∞ respectively are introduced and some algebraic and topological structures of the spaces are investigated.
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Matrix transformations between some classes of sequences
C. G. Lascarides,I. J. Maddox +1 more
TL;DR: In this article, the authors define a transformation from X into Y, and denote it by writing A: X → Y, if for every sequence x = (xk)∈X the sequence Ax = (An(x)) is in Y, where An(x) = Σankxk and the sum without limits is always taken from k = 1 to k = ∞.