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Quaestiones Mathematicae
In this article, we narrated the new notion of rough f-statistical convergence and rough f-statistical Cauchy sequences, successively becoming a more generalized version of rough statistical convergence and rough statistical Cauchy sequences. Consecutively, compare the following important theorems with those of List´an-Garc´ıa [Quaest. Math. 37(4)
Aziz, Tamim, Ghosal, Sanjoy
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In this article, we narrated the new notion of rough f-statistical convergence and rough f-statistical Cauchy sequences, successively becoming a more generalized version of rough statistical convergence and rough statistical Cauchy sequences. Consecutively, compare the following important theorems with those of List´an-Garc´ıa [Quaest. Math. 37(4)
Aziz, Tamim, Ghosal, Sanjoy
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NECESSARY AND SUFFICIENT CONDITIONS FOR FREQUENT CAUCHY SEQUENCES
Asian-European Journal of Mathematics, 2009In this paper, by means of frequency measure (also called asymptotic density or natural density) defined for integer subsets, we obtain some new explicit sufficient and necessary conditions for real sequences to be frequently convergent. These conditions involve frequent Cauchy sequences and statistical pre-Cauchy sequences as well as statistical ...
CHENG, Sui Sun +2 more
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İdeal cauchy dizileri = Ideal cauchy sequences / [PDF]
Kaynakça var.
Yaman Toyganözü, Zeynep Hande, 1982- author 129153 +2 more
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Cauchy Sequences and Function Rings
The American Mathematical Monthly, 1981(1981). Cauchy Sequences and Function Rings. The American Mathematical Monthly: Vol. 88, No. 9, pp. 700-701.
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2007
The concept of I-convergence is a generalization of statistical convergence and it is dependent on the notion of the ideal I of subsets of the set N of positive integers. In this paper we prove a decomposition theorem for I-convergent sequences and we introduce the notions of I Cauchy sequence and I*-Cauchy sequence, and then study their certain ...
PEHLİVAN, Serpil +2 more
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The concept of I-convergence is a generalization of statistical convergence and it is dependent on the notion of the ideal I of subsets of the set N of positive integers. In this paper we prove a decomposition theorem for I-convergent sequences and we introduce the notions of I Cauchy sequence and I*-Cauchy sequence, and then study their certain ...
PEHLİVAN, Serpil +2 more
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Metric-Cauchy sequence for wheeled mobile robot navigation
Materials Today: Proceedings, 2021Brijesh Patel, Alok Jha, B K Patle
exaly
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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Minimum Parametrization of the Cauchy Stress Operator
Journal of Modern Physics, 2021Jean-François Pommaret
exaly