Results 11 to 20 of about 1,589,926 (279)
Statistical quasi-Cauchy sequences
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huseyin Çakalli
exaly +2 more sources
ϕ -statistically quasi Cauchy sequences
Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bipan Hazarika
exaly +3 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 $\mathcal{I}$-CAUCHY SEQUENCES
Taiwanese Journal of Mathematics, 2007 The concept of $\mathcal{I}$-convergence is a generalization of statistical convergence and it is dependent on the notion of the ideal $\mathcal{I}$ of subsets of the set $\mathbb{N}$ of positive integers. In this paper we prove a decomposition theorem for $\mathcal{I}$-convergent sequences and we introduce the notions of $\mathcal{I}$ Cauchy sequence ...
Serpil Pehlivan, M Gürdal
exaly +3 more sources
I2-convergence and I2-cauchy double sequences
Acta Mathematica Scientia, 2014 Abstract In this article, we prove a decomposition theorem for I 2 -convergent double sequences and introduce the notions of I 2 -Cauchy and I * 2 )-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly ( I 2 , I )-convergence and ( I 2 , I )-Cauchy double sequence.
Bilal Altay
exaly +4 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
core +6 more sources
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
doaj +1 more source
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
doaj +1 more source
Some Results Related to the Cauchy-Bunyakovsky-Schwarz Inequality [PDF]
, 2007 Some refinements and reverses of the Cauchy-Bunyakovsky-Schwarz inequality for the Lebesgue integral in measurable spaces are given.
Dragomir, Sever S, Barnett, Neil S
core +6 more sources