I-uniform continuity and I-uniform boundedness of a function

• Autorzy: Ghosal S.
• Języki publikacji: EN

Abstrakty

EN

The concepts of I-convergence and I-Cauchy condition are a generalization of statistical convergence and statistical Cauchy conditions and are dependent on the notion of the ideal I of subsets of the set N of positive integers. In this paper, we shall introduce two new notions of I-uniform continuity and I-uniform boundedness of a function with values in R or in a metric space and then study their basic properties.

Słowa kluczowe

EN

ideals; filter; I-uniform convergence; I-uniform continuity; I-uniform boundedness

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 4
• Strony: 887--894
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Ghosal S.

• Faculty Of Science, Department Of Mathematics Kalyani Government Engineering College Kalyani, Nadia-741235 West Bengal, India,

Bibliografia

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