Results 21 to 30 of about 75,293 (284)
I-Statistical Rough Convergence of Order α
The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α.
Sevcan Bulut, Aykut Or
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This article aims to provide a glimpse of noncommutative metric geometry by introducing some of the main structures involved and examples stemming from physics and C*-algebra theory.
Konrad Aguilar +3 more
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A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE
In this work, we introduce the 𝛼𝛽-statistical pointwise ideal convergence, 𝛼𝛽-statistical uniform ideal convergence, and 𝛼𝛽-equi-statistical ideal convergence for sequences of fuzzy-valued functions.
Sonali Sharma, Kuldip Raj
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Convergence of positive series and ideal convergence [PDF]
Summary: Let \(\mathcal{I}\subseteq 2^{\mathbb {N}}\) be an admissible ideal, we say that a sequence \((x_n)\) of real numbers \(\mathcal{I}\)-converges to a number \(L\), and write \(\mathcal{I}\)-$\lim x_n = L\), if for each \(\varepsilon >0\) the set \(A_{\varepsilon}=\{n:\vert x_n-L\vert \ge \varepsilon\}\) belongs to the ideal \(\mathcal{I}\).
Baláž, Vladimír +3 more
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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
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Development of GHG Emission Factors for the Life Cycle of the Animal Manure Treatment Systems
Objectives:A whole process greenhouse gas emission factor was developed considering the direct greenhouse gas emission from the decomposition of livestock manure provided by the IPCC guidelines and the energy consumption of manure management systems ...
Yoosung Park +2 more
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Ideal Convergence in Partial Metric Spaces
Abstract The aim of this paper is to develop the summability literature by introducing the concept of Ip-convergence in a partial metric space (X, p). First, we give some properties of Ip-convergence. Also, we introduce the concept of Ip*-convergence in the partial metric space (X, p) and examine relations between newly defined concepts ...
Esra Gülle +2 more
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Spaces of Ideal Convergent Sequences [PDF]
In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz functionℳ=Mk. We also examine some topological properties of the resulting sequence spaces.
M. Mursaleen, Sunil K. Sharma
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Regularly ideal invariant convergence of double sequences
In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
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Some properties of $I_3$-λ-statistical cluster points
In this note, we investigate some problems concerning the set of λ-statistical cluster points of triple sequences via ideals in finite dimensional spaces, and some of its properties in finite dimensional Banach spaces are proved.
Verda Gürdal, Ömer Kişi
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