On Andersson's inequality for yyperbolically convex functions

On Andersson's inequality for yyperbolically convex functions

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

___

  • 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.