논문KCI 등재
Dini's theorem for discontinuous functions
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초록
Dini's theorem is examined in the context of discontinuous functions, particularly semi-continuous functions. It is further demonstrated that uniform convergence is equivalent to the Hausdorff convergence of graphs in the product space as a result of applying Dini's theorem for semi-continuous functions.
Abstract
Dini's theorem is examined in the context of discontinuous functions, particularly semi-continuous functions. It is further demonstrated that uniform convergence is equivalent to the Hausdorff convergence of graphs in the product space as a result of applying Dini's theorem for semi-continuous functions.
관련 논문AI추천
On a convergence theorem of DiniT. S. NANJUNDIAH장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제4호Some remarks on quasi and weakly quasi continuous functionsHyunjung Song, Seungwook Kim대한수학회 · 대한수학회논문집2002 · 제17권 제4호Multi-fuzzy sequences in metric spacesHaseena C, Priyanka P, Sabu Sebastian강원경기수학회 · 한국수학논문집2024 · 제32권 제4호Some Remarks on Almost α-continuous Functionski, Zbigniew Duszyń경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제2호Note on a new proof of Bolzano-Weierstrass theoremMladen Vassilev - Missana장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호A remark on convergence theory for iterative processes of Proinov contractionRavindra K. Bisht대한수학회 · 대한수학회논문집2019 · 제34권 제4호
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