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k-fractional integral trapezium-like inequalities through (h,m)$(h,m)$-convex and (α,m)$(\alpha,m)$-convex mappings

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In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of (h,m)$(h,m)$-convexity, (α,m)$(\alpha,m)$-convexity and the obtained equation, some new trapezium-like integral… Click to show full abstract

In this paper, a new general identity for differentiable mappings via k-fractional integrals is derived. By using the concept of (h,m)$(h,m)$-convexity, (α,m)$(\alpha,m)$-convexity and the obtained equation, some new trapezium-like integral inequalities are established. The results presented provide extensions of those given in earlier works.

Keywords: like inequalities; integral trapezium; inequalities convex; trapezium like; trapezium; fractional integral

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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