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<p>There are two known sequences of real numbers converging to the Euler gamma constant, one of them strictly decreasingly and the other one strictly increasingly on the whole domain of indices, that is, on the set of all positive natural numbers. Here, we present a complete picture on the monotonicity character of the one-parameter class of sequences of real numbers consisting of their convex combinations on the whole domain of indices.</p>

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On some sequences whose limit is the Euler gamma constant

  • 期刊论文

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  • 发表日期：

    2025年6月17日

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  • Stevo Stević

摘要

There are two known sequences of real numbers converging to the Euler gamma constant, one of them strictly decreasingly and the other one strictly increasingly on the whole domain of indices, that is, on the set of all positive natural numbers. Here, we present a complete picture on the monotonicity character of the one-parameter class of sequences of real numbers consisting of their convex combinations on the whole domain of indices.