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Yayın Difference convergence on partial metric space(Maltepe Üniversitesi, 2019) Hanaç, Esen; Esi, Ayten; Esi, AyhanThe concept of partial metric space is a minimal generalization of a metric space (X, d), where for each x ? X, d(x, x) does not need to be zero, in other terms is known as non-self distance. In this conference paper we defined some new definitions on partial metric space using by first difference of a sequence (xk) in partial metric space and examined some properties of these definitions..Yayın I-acceleration convergence of double sequences(Maltepe Üniversitesi, 2019) Esi, Ayhan; Hanaç, Esen; Esi, AytenA sequence transformation T is a function T : (xk) ? (x? k) which maps a slowly convergent sequence to another sequence with better numerical properties. If limk xk = x and limk x? k = x? with rk and r? k as the truncated errors. Then we have xk = x + rk, x? k = x? + r? k . We say that the sequence (xk) converge more rapidly than the sequence (x? k) if lim k x? k ? x? xk ? x = lim k r? k rk = 0.
