Bibliographic Details
| Title: |
Subadditive and Superadditive Inequalities for Convex and Superquadratic Functions. |
| Authors: |
MORADI, HAMID REZA1 hrmoradi@mshdiau.ac.ir, MINCULETE, NICUŞOR2 minculete.nicusor@unitbv.ro, SHIGERU FURUICHI3 furuichi.shigeru@nihon-u.ac.jp, SABABHEH, MOHAMMAD4 sababheh@psut.edu.jo |
| Superior Title: |
Carpathian Journal of Mathematics. 2024, Vol. 40 Issue 1, p121-137. 17p. |
| Subject Terms: |
*CONVEX functions, *MATHEMATICAL analysis, *OPERATOR theory, *FRACTIONAL calculus, *MATHEMATICAL physics, *FUNCTIONAL analysis, *CONCAVE functions |
| Abstract: |
Convex functions and their analogues have been powerful tools in almost all mathematical fields, including optimization, fractional calculus, mathematical analysis, functional analysis, operator theory, and mathematical physics. It is well established in the literature that a convex function f : [0,∞) → [0,∞) with f(0) = 0 is necessarily superadditive, while a concave function f : [0,∞) → [0,∞) is subadditive. The converses of these two assertions are not valid in general. The main target of this article is to study the subadditivity and superadditivity of convex and superquadratic functions. In particular, we obtain several results extending, refining, and reversing some known inequalities in this direction. Further discussion of superquadratic functions in this line will be given. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |