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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

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

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 Review Articles
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

Publication Date February 1, 2019
Submission Date September 22, 2017
Acceptance Date February 15, 2018
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 Faried N, Ali MSS, Yehia ZM. On Andersson’s inequality for yyperbolically convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2019;68(1):528-537. doi:10.31801/cfsuasmas.434525
Chicago Faried, Nashat, Mohamed S. S. Ali, and Zeinab M. Yehia. “On Andersson’s Inequality for Yyperbolically Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, no. 1 (February 2019): 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 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, 2019, doi: 10.31801/cfsuasmas.434525.
ISNAD Faried, Nashat et al. “On Andersson’s Inequality for Yyperbolically Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 2019), 528-537. https://doi.org/10.31801/cfsuasmas.434525.
JAMA 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, 2019, pp. 528-37, doi:10.31801/cfsuasmas.434525.
Vancouver 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):528-37.

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

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