Research Article

On Andersson's inequality for yyperbolically convex functions

Volume: 68 Number: 1 February 1, 2019
EN

On Andersson's inequality for yyperbolically convex functions

Abstract

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

Keywords

References

  1. Beckenbach, E. F., Generalized convex functions, Bulletin of the American Mathematical Society, vol. 43, no. 6, (1937), 363-371.
  2. Beckenbach E. F. and Bing, R. H., On generalized convex functions, Transactions of the American Mathematical Society, vol. 58, (1945), 220-230.
  3. 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.
  4. Andersson B. J., An inequality for Convex Functions, Nordisk Matematisk Tidskrift., 6, (1968), 25-26.
  5. Roberts A. W. and Varberg, D. E., Convex Functions, Academic Press, London, Uk, 1973.
  6. 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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

September 22, 2017

Acceptance Date

February 15, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

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.Nashat Faried, Mohamed S. S. Ali, Zeinab M. Yehia. On Andersson’s inequality for yyperbolically convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):528-37. doi:10.31801/cfsuasmas.434525

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

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