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Abstract In this paper, using the concept of ideal convergence, which extends the idea of ordinary convergence and statistical convergence, we are concerned with the I-uniform convergence and the I-pointwise… Click to show full abstract
Abstract In this paper, using the concept of ideal convergence, which extends the idea of ordinary convergence and statistical convergence, we are concerned with the I-uniform convergence and the I-pointwise convergence of sequences of functions defined on a set of real numbers D. We present the Arzelà–Ascoli theorem by means of ideal convergence and also the relationship between I-equicontinuity and I-continuity for a family of functions.
Keywords:
arzel ascoli;
ascoli theorem;
means ideal;
ideal convergence;
theorem means;
convergence
Journal Title: Georgian Mathematical Journal
Year Published: 2017
Link to full text (if available)
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Journal Title: Georgian Mathematical Journal
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!