Articles with "averages convex" as a keyword



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Weighted averages of n-convex functions via extension of Montgomery’s identity

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Published in 2019 at "Arabian Journal of Mathematics"

DOI: 10.1007/s40065-019-0245-9

Abstract: Using an extension of Montgomery’s identity and the Green’s function, we obtain new identities and related inequalities for weighted averages of n-convex functions, i.e. the sum $$\sum _{i=1}^m \rho _i h(\lambda _i)$$∑i=1mρih(λi) and the integral… read more here.

Keywords: montgomery identity; weighted averages; averages convex; convex functions ... See more keywords