Browsing by Subject "ideal convergence"

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The Arzela-Ascoli theorem by means of ideal convergence

Tas, Emre; Yurdakadim, Tugba (WALTER DE GRUYTER GMBH, 2018)

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 ...
Some new insights into ideal convergence and subsequences

Wieren, Leila Miller-Van; Taş, Emre; Yurdakadim, Tuğba (Hacettepe University, 2022)

Some results on the sets of almost convergent, statistically convergent, uniformly statistically convergent, I-convergent subsequences of (sn) have been obtained by many authors via establishing a one-to-one correspondence ...