- Konuralp Journal of Mathematics
- Vol: 7 Issue: 2
- Convexity and Hermite-Hadamard Type Inequality via Non-Newtonian Calculus
Convexity and Hermite-Hadamard Type Inequality via Non-Newtonian Calculus
Authors : Erdal Ünlüyol, Seren Salaş
Pages : 352-358
View : 8 | Download : 4
Publication Date : 2019-10-15
Article Type : Research
Abstract :In this paper, firstly we research basic definition of convexity in terms of non-Newtonian calculi, i.e. interval, convex set, convexity, etc. Secondly, we deal with the different classes of convexity and generalizations via non-Newtonian calculi. Finally, we reveal the new generalization of the definition of convexity that can reduce many order of convexity and constitute some new Hermite-Hadamard type inequalities for this calculi.Keywords : Non-Newtonian calculi, alpha-convexity, Hermite-Hadamard type inequality