Results 1 to 10 of about 1,668,589 (257)
On Strongly Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence [PDF]
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 +2 more
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On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups [PDF]
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
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Weakly unconditionally Cauchy series and Fibonacci sequence spaces
Journal of Inequalities and Applications, 2017 We study new sequence spaces associated to sequences in normed spaces and the band matrix F̂ defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of ...
Ramazan Kama, Bilal Altay
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Infinitesimals via Cauchy Sequences: Refining the Classical Equivalence
Open Mathematics, 2021 A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy’s sentiment that a null sequence “becomes” an infinitesimal.
Emanuele Bottazzi, Mikhail Katz
exaly +2 more sources
A Study on -Quasi-Cauchy Sequences [PDF]
Abstract and Applied Analysis, 2013 Recently, the concept of -ward continuity was introduced and studied. In this paper, we prove that the uniform limit of -ward continuous functions is -ward continuous, and the set of all -ward continuous functions is a closed subset of the set of all ...
Hüseyin Çakalli, Huseyin Kaplan
doaj +3 more sources
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
core +6 more sources
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 +2 more
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A new type of difference I-convergent sequence in IFnNS [PDF]
Yugoslav Journal of Operations Research, 2023 In this paper, we introduce the notion of a generalized difference I-convergent (i.e.Δm-I-convergent) and difference I-Cauchy (i.e.Δm-I-Cauchy) sequence in intuitionistic fuzzy n-normed spaces. Further, we prove some results related to this notion. Also,
Khan Vakeel A. +2 more
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On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence
Communications in Advanced Mathematical Sciences, 2023 In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
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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 +2 more
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