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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 $$\sum _{i=1}^m \rho _i… Click to show full abstract
Using an extension of Montgomery’s identity and the Green’s function, we obtain new identities and related inequalities for weighted averages of n-convex functions, i.e. the sum $$\sum _{i=1}^m \rho _i h(\lambda _i)$$∑i=1mρih(λi) and the integral $$\int ^{b}_{a} \rho (\lambda ) h(\gamma (\lambda ))d\lambda $$∫abρ(λ)h(γ(λ))dλ where h is an n-convex function.
Keywords:
montgomery identity;
weighted averages;
averages convex;
convex functions;
extension montgomery
Journal Title: Arabian Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Arabian Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!