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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2177| Title: | Convex Functions and Some Inequalities in Terms of the Non-Newtonian Calculus |
| Authors: | Iscan, Imdat Salas, Seren Unluyol, Erdal Ordu Üniversitesi 0000-0001-6749-0591 0000-0003-3465-6473 |
| Issue Date: | 2017 |
| Publisher: | AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA |
| Abstract: | Differentiation and integration are basic operations of calculus and analysis. Indeed, they are many versions of the subtraction and addition operations on numbers, respectively. From 1967 till 1970 Michael Grossman and Robert Katz [1] gave definitions of a new kind of derivative and integral, converting the roles of subtraction and addition into division and multiplication, and thus establish a new calculus, called Non-Newtonian Calculus. So, in this paper, it is investigated to the convex functions and some inequalities in terms of Non-Newtonian Calculus. Then we compare with the Newtonian and Non-Newtonian Calculus. |
| URI: | http://doi.org/10.1063/1.4981691 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2177 |
| Appears in Collections: | Matematik |
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