Have a personal or library account? Click to login
On bounds of the sine and cosine along straight lines on the complex plane Cover

On bounds of the sine and cosine along straight lines on the complex plane

By: Feng Qi  
Open Access
|Feb 2020

References

  1. [1] P. S. Bullen, A Dictionary of Inequalities, Pitman Monographs and Surveys in Pure and Applied Mathematics 97, Addison Wesley Longman Limited, 1998.
  2. [2] Z.-H. Huo, D.-W. Niu, J. Cao, and F. Qi, A generalization of Jordan’s inequality and an application, Hacet. J. Math. Stat., 40 (2011), no. 1, 53–61.
  3. [3] H. Kober, Approximation by integral functions in the complex domain, Trans. Amer. Math. Soc., 56 (1944), no. 1, 7–31; Availble online at https://doi.org/10.2307/1990275.10.2307/1990275
  4. [4] D. S. Mitrinović, Analytic Inequalities, In cooperation with P. M. Vasić. Die Grundlehren der mathematischen Wissenschaften, Band 165 Springer-Verlag, New York-Berlin, 1970.
  5. [5] D.-W. Niu, J. Cao, and F. Qi, Generalizations of Jordan’s inequality and concerned relations, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys., 72 (2010), no. 3, 85–98.
  6. [6] D.-W. Niu, Z.-H. Huo, J. Cao, and F. Qi, A general refinement of Jordan’s inequality and a refinement of L. Yang’s inequality, Integral Transforms Spec. Funct. 19 (2008), no. 3, 157–164; Available online at http://dx.doi.org/10.1080/10652460701635886.10.1080/10652460701635886
  7. [7] F. Qi, On bounds of the sine and cosine along straight lines on the complex plane, Preprints 2018, 2018090365, 5 pages; Available online at https://doi.org/10.20944/preprints201809.0365.v1.10.20944/preprints201809.0365.v1
  8. [8] F. Qi and B.-N. Guo, A criterion to justify a holomorphic function, Glob. J. Math. Anal., 5 (2017), no. 1, 24–26; Available online at https://doi.org/10.14419/gjma.v5i1.7398.10.14419/gjma.v5i1.7398
  9. [9] F. Qi and Q.-D. Hao, Refinements and sharpenings of Jordan’s and Kober’s inequality, Mathematics and Informatics Quarterly, 8 (1998), no. 3, 116–120.
  10. [10] F. Qi, D.-W. Niu, and B.-N. Guo, Refinements, generalizations, and applications of Jordan’s inequality and related problems, J. Inequal. Appl., 2009 (2009), Article ID 271923, 52 pages; Available online at http://dx.doi.org/10.1155/2009/271923.10.1155/2009/271923
Language: English
Page range: 371 - 379
Submitted on: Nov 4, 2018
|
Published on: Feb 27, 2020
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Feng Qi, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.