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A new variation on statistically quasi Cauchy sequences
AIP Conference Proceedings, 2018International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki ...
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A variation on Abel quasi Cauchy sequences
AIP Conference Proceedings, 2015In this paper, we introduce and investigate the concept of Abel ward continuity. A real function f is Abel ward continuous if it preserves Abel quasi Cauchy sequences, where a sequence (pk) of point in R is called Abel quasi-Cauchy if the series Σk=0∞ Δ pk⋅xk is convergent for 0 ≤ x < 1 and limx→1−(1−x)Σk=0∞ Δ pk⋅xk=0, where Δ pk = pk+1 − pk for every ...
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2011
Recently, it has been proved that a real-valued function defined on a subset E of R, the set of real numbers, is uniformly continuous on E if and only if it is defined on E and preserves quasi-Cauchy sequences of points in E where a sequence is called quasi-Cauchy if (?xn) is a null sequence.
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Recently, it has been proved that a real-valued function defined on a subset E of R, the set of real numbers, is uniformly continuous on E if and only if it is defined on E and preserves quasi-Cauchy sequences of points in E where a sequence is called quasi-Cauchy if (?xn) is a null sequence.
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Beyond the quasi-Cauchy sequences beyond the Cauchy sequences
AIP Conference Proceedings, 20163rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty ...
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Lacunary Statistical $p$-Quasi Cauchy Sequences
2018In this paper, we introduce a concept of lacunary statistically $p$-quasi-Cauchyness of a real sequence in the sense that a sequence $(\alpha_{k})$ is lacunary statistically $p$-quasi-Cauchy if $\lim_{r\rightarrow\infty}\frac{1}{h_{r}}|\{k\in I_{r}: |\alpha_{k+p}-\alpha_{k}|\geq{\varepsilon}\}|=0$ for each $\varepsilon>0$.
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Cell entry and release of quasi-enveloped human hepatitis viruses
Nature Reviews Microbiology, 2023Anshuman Das +2 more
exaly
On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation
Journal of Computational and Applied Mathematics, 2010Yu-Jiang Wu
exaly
A New Approach to Statistically Quasi Cauchy Sequences
2018A sequence $(\alpha _{k})$ of points in $\mathbb{R}$, the set of real numbers, is called $\rho$-statistically $p$ quasi Cauchy if \[ \lim_{n\rightarrow\infty}\frac{1}{\rho _{n}}|\{k\leq n: |\Delta_{p}\alpha _{k} |\geq{\varepsilon}\}|=0 \] for each $\varepsilon>0$, where $\rho=(\rho_{n})$ is a non-decreasing sequence of positive real numbers ...
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