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After 40 years, Sebestyen’s theorem breaks past old math limits

For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...
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On Existence and a Dominated Convergence Theorem for Weighted $g$-Summability

Let $(w_1, w_2, w_3)$ be an ordered triple of real numbers such that $w_1 + w_2 + w_3 = 1$. Let $g$ be a real-valued function on the entire real axis which is of ...