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k-fractional integral trapezium-like inequalities through [Formula: see text]-convex and [Formula: see text]-convex
Hao Wang1, Tingsong Du1, Yao Zhang1
1Department of Mathematics, College of Science, China Three Gorges University, Yichang, 443002 China.
Abstract:
In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of [Formula: see text]-convexity, [Formula: see text]-convexity and the obtained equation, some new trapezium-like integral inequalities are established. The results presented provide extensions of those given in earlier works.
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