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Published in 2017 at "Journal of Inequalities and Applications"
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…
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Keywords:
like inequalities;
integral trapezium;
inequalities convex;
trapezium like ... See more keywords
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1
Published in 2022 at "Symmetry"
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…
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Keywords:
involving order;
convex;
convex functions;
trapezium like ... See more keywords