Research Article
BibTex RIS Cite

On Andersson's inequality for yyperbolically convex functions

Year 2019, Volume: 68 Issue: 1, 528 - 537, 01.02.2019
https://doi.org/10.31801/cfsuasmas.434525
https://izlik.org/JA69MN65KE

Abstract

In this paper, we use Andersson's Inequality for ordinary convex functions to prove a similar inequalities concerning hyperbolically convex functions.

References

  • Beckenbach, E. F., Generalized convex functions, Bulletin of the American Mathematical Society, vol. 43, no. 6, (1937), 363-371.
  • Beckenbach E. F. and Bing, R. H., On generalized convex functions, Transactions of the American Mathematical Society, vol. 58, (1945), 220-230.
  • Ali, Mohamed S. S., On certain properties for two classes of generalized convex functions,. Abstract and Applied Analysis, vol. 2016, (2016), Article ID 4652038, 7 pages.
  • Andersson B. J., An inequality for Convex Functions, Nordisk Matematisk Tidskrift., 6, (1968), 25-26.
  • Roberts A. W. and Varberg, D. E., Convex Functions, Academic Press, London, Uk, 1973.
  • Daalhuis, Olde and Adri, B., Hypergeometric function, in Olver, Frank W. Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W., NIST Handbook of Mathematical Functions, Cambridge University Press, 2010.

Year 2019, Volume: 68 Issue: 1, 528 - 537, 01.02.2019
https://doi.org/10.31801/cfsuasmas.434525
https://izlik.org/JA69MN65KE

Abstract

References

  • Beckenbach, E. F., Generalized convex functions, Bulletin of the American Mathematical Society, vol. 43, no. 6, (1937), 363-371.
  • Beckenbach E. F. and Bing, R. H., On generalized convex functions, Transactions of the American Mathematical Society, vol. 58, (1945), 220-230.
  • Ali, Mohamed S. S., On certain properties for two classes of generalized convex functions,. Abstract and Applied Analysis, vol. 2016, (2016), Article ID 4652038, 7 pages.
  • Andersson B. J., An inequality for Convex Functions, Nordisk Matematisk Tidskrift., 6, (1968), 25-26.
  • Roberts A. W. and Varberg, D. E., Convex Functions, Academic Press, London, Uk, 1973.
  • Daalhuis, Olde and Adri, B., Hypergeometric function, in Olver, Frank W. Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W., NIST Handbook of Mathematical Functions, Cambridge University Press, 2010.
There are 6 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Nashat Faried This is me 0000-0002-9593-9699

Mohamed S. S. Ali This is me 0000-0002-2219-6038

Zeinab M. Yehia 0000-0002-0263-9049

Submission Date September 22, 2017
Acceptance Date February 15, 2018
Publication Date February 1, 2019
DOI https://doi.org/10.31801/cfsuasmas.434525
IZ https://izlik.org/JA69MN65KE
Published in Issue Year 2019 Volume: 68 Issue: 1

Cite

APA Faried, N., Ali, M. S. S., & Yehia, Z. M. (2019). On Andersson’s inequality for yyperbolically convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 528-537. https://doi.org/10.31801/cfsuasmas.434525
AMA 1.Faried N, Ali MSS, Yehia ZM. On Andersson’s inequality for yyperbolically convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):528-537. doi:10.31801/cfsuasmas.434525
Chicago Faried, Nashat, Mohamed S. S. Ali, and Zeinab M. Yehia. 2019. “On Andersson’s Inequality for Yyperbolically Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 528-37. https://doi.org/10.31801/cfsuasmas.434525.
EndNote Faried N, Ali MSS, Yehia ZM (February 1, 2019) On Andersson’s inequality for yyperbolically convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 528–537.
IEEE [1]N. Faried, M. S. S. Ali, and Z. M. Yehia, “On Andersson’s inequality for yyperbolically convex functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 528–537, Feb. 2019, doi: 10.31801/cfsuasmas.434525.
ISNAD Faried, Nashat - Ali, Mohamed S. S. - Yehia, Zeinab M. “On Andersson’s Inequality for Yyperbolically Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 528-537. https://doi.org/10.31801/cfsuasmas.434525.
JAMA 1.Faried N, Ali MSS, Yehia ZM. On Andersson’s inequality for yyperbolically convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:528–537.
MLA Faried, Nashat, et al. “On Andersson’s Inequality for Yyperbolically Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 528-37, doi:10.31801/cfsuasmas.434525.
Vancouver 1.Faried N, Ali MSS, Yehia ZM. On Andersson’s inequality for yyperbolically convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 2019 Feb. 1;68(1):528-37. Available from: https://izlik.org/JA69MN65KE

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.