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Some New Sequences and Inequalities Related to Euler’s Constant

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Abstract

In this paper, by using polynomial, we define some new sharp sequences of Euler’s constant and give the related inequalities. Besides, some numerical simulations are presented to demonstrate the superiority of our sequences over Mortici’s sequences and Lu’s sequences.

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Acknowledgments

The research of the second author is supported by the National Natural Sciences Foundation of China (Grant No. 11571058) and the Fundamental Research Funds for the Central Universities (Grant No. DUT18LK18). Computations made in this paper were performed using Maple software.

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Correspondence to Dawei Lu.

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Feng, J., Lu, D. & Wen, Z. Some New Sequences and Inequalities Related to Euler’s Constant. Results Math 73, 158 (2018). https://doi.org/10.1007/s00025-018-0919-1

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  • DOI: https://doi.org/10.1007/s00025-018-0919-1

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