Local fractional integrals involving generalized strongly m-convex mappings

• Published in: Arabian Journal of Mathematics Vol. 8; no. 2; pp. 95 - 107
• Main Authors: Anastassiou, George, Kashuri, Artion, Liko, Rozana
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019; Springer; Springer Nature B.V
• Subjects: Convex sets; Identity; Integrals; Maps (Mathematics); Mathematical research; Mathematics; Mathematics and Statistics; United States; Primary 26A51; 26D10; 26D07; 26D15; Secondary 26A33

In this paper, we first obtain a generalized integral identity for twice local fractional differentiable mappings on fractal sets R α ( 0 < α ≤ 1 ) of real line numbers. Then, using twice local fractional differentiable mappings that are in absolute value at certain powers generalized strongly m...