k-fractional integral trapezium-like inequalities through (h,m)$(h,m)$-convex and (α,m)$(\alpha,m)$-convex mappings
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DOI: 10.1186/s13660-017-1586-6
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… read more here.
Keywords: like inequalities; integral trapezium; inequalities convex; trapezium like ... See more keywords
Trapezium-like Inequalities Involving k-th Order Differentiable Rγ-Convex Functions and Applications
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DOI: 10.3390/sym14030448
Abstract: We introduce the class of Rγ-convex functions and discuss that it relates to some other classes of convexity. We study the class of Rγ-convex functions in the perspective of trapezium-like inequalities, for which we also… read more here.
Keywords: involving order; convex; convex functions; trapezium like ... See more keywords