Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 3

Sharpening and generalizations of Carlson's inequality for the arc cosine function

Sayfa
403–409
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we sharpen and generalize Carlson’s double inequality for the arc cosine function.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we sharpen and generalize Carlson’s double inequality for the arc cosine function.
📊
Temel Bulgular & Veri:In this paper, we sharpen and generalize Carlson’s double inequality for the arc cosine function.
💡
Sonuç & Katkı:In this paper, we sharpen and generalize Carlson’s double inequality for the arc cosine function.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we sharpen and generalize Carlson’s double inequality for the arc cosine function.

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Bu Makaleye Atıf Yap

GUO, B. N., QI, F. (2022). Sharpening and generalizations of Carlson's inequality for the arc cosine function. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 3, 403–409. https://ajindex.com/articles/530621

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Kaynakça (10)

  1. Carlson, B.C. Inequality for a symmetric elliptic integral, Proc. Amer. Math. Soc. 25 (3), 698–703, 1970
  2. Guo, B.-N. and Qi, F. Sharpening and generalizations of Carlson’s double inequality for the arc cosine function, Available online at
  3. Mitrinovi´c, D. S. Analytic Inequalities (Springer-Verlag, NewYork/Heidelburg/Berlin, 1970)
  4. Qi, F., Cui, L.-H. and Xu, S.-L. Some inequalities constructed by Tchebysheff’s integral inequality, Math. Inequal. Appl. 2 (4), 517–528, 1999
  5. Qi, F. and Guo, B.-N. A concise proof of Oppenheim’s double inequality relating to the cosine and sine functions, Available online at
  6. Qi, F. and Guo, B.-N. Concise sharpening and generalizations of Shafer’s inequality for the arc sine function, Available online at
  7. Qi, F. and Guo, B.-N. Sharpening and generalizations of Shafer-Fink’s double inequality for the arc sine function, Available online at
  8. 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; Available online at
  9. Qi, F., Zhang, Sh.-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, 10 pages; Available online at
  10. Zhang, Sh.-Q. and Guo, B.-N. Monotonicity results and inequalities for the inverse hyper- bolic sine, Chinese Quart. J. Math. 24 (3), 394–388, 2009.