Moreover, the authors propose a sharp double inequality as a conjecture.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In the paper, the authors analyze and compare two double inequali- ties for bounding the tangent function, reorganize the proof in C.-P.
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Temel Bulgular & Veri:Math. 34 (4), 351–355, 2003) by using the usual definition of Bernoulli numbers, and correct some errors on page 6, (1.29) and (1.30) of F.
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Sonuç & Katkı:Moreover, the authors propose a sharp double inequality as a conjecture.
🔬Tür:Araştırma Makalesi
📍Kapsam:2003 Verileri
⚙️Değişkenler:Alan Parametreleri
Abstract
In the paper, the authors analyze and compare two double inequali- ties for bounding the tangent function, reorganize the proof in C.-P. Chen and F. Qi (A double inequality for remainder of power series of tangent function, Tamkang J. Math. 34 (4), 351–355, 2003) by using the usual definition of Bernoulli numbers, and correct some errors on page 6, (1.29) and (1.30) of F. Qi, D. -W. Niu, and B. -N. Guo (Re- finements, generalizations, and applications of Jordan’s inequality and related problems, J. Inequal. Appl. 2009 (2009), Article ID 271923, 52 pages, 2009). Moreover, the authors propose a sharp double inequality as a conjecture.
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Bu Makaleye Atıf Yap
LUO, Q. M., GUO, B. N., QI, F., ZHAO, J. L. (2022). Remarks on inequalities for the tangent function. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 499–506. https://ajindex.com/articles/530518
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Guo, B. -N. and Qi, F. A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 72 (2), 21–30, 2010
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Qi, F., Niu, D. -W. and Guo, B. -N. Refinements, generalizations, and applications of Jor- dan’s inequality and related problems, J. Inequal. Appl. 2009 (2009), Article ID 271923, 52 pages, 2009; Available online at
Qi, F., Zhang, S. -Q. and Guo, B. -N. Sharpening and generalizations of Shafer’s inequality for the arc tangent function, J. Inequal. Appl. 2009 (2009), Article ID 930294, 9 pages, 2009; Available online at
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